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1916807427360 = 25335717192967101

1916807427360 has 3072 divisors, whose sum is σ = 9060968448000. Its totient is φ = 367873228800.

The previous prime is 1916807427329. The next prime is 1916807427407. The reversal of 1916807427360 is 637247086191.

1916807427360 is a `hidden beast` number, since 191 + 6 + 8 + 0 + 74 + 27 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1916807427297 and 1916807427306.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 18978291310 + ... + 18978291410.

It is an arithmetic number, because the mean of its divisors is an integer number (2949534000).

Almost surely, 21916807427360 is an apocalyptic number.

1916807427360 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 1916807427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530484224000).

1916807427360 is an abundant number, since it is smaller than the sum of its proper divisors (7144161020640).

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

1916807427360 is a wasteful number, since it uses less digits than its factorization.

1916807427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1916807427360 in words is "one trillion, nine hundred sixteen billion, eight hundred seven million, four hundred twenty-seven thousand, three hundred sixty".