1974856826880 has 2400 divisors, whose sum is σ = 8920244817792. Its totient is φ = 407686348800.

The previous prime is 1974856826879. The next prime is 1974856826881. The reversal of 1974856826880 is 886286584791.

1974856826880 is a `hidden beast` number, since 1 + 9 + 7 + 485 + 6 + 8 + 2 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1974856826879) and next prime (1974856826881).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1974856826799 and 1974856826808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1974856826881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32374702050 + ... + 32374702110.

Almost surely, 2^{1974856826880} is an apocalyptic number.

1974856826880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1974856826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460122408896).

1974856826880 is an abundant number, since it is smaller than the sum of its proper divisors (6945387990912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1974856826880 is an equidigital number, since it uses as much as digits as its factorization.

1974856826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 1974856826880 in words is "one trillion, nine hundred seventy-four billion, eight hundred fifty-six million, eight hundred twenty-six thousand, eight hundred eighty".