1955377129104 has 675 divisors, whose sum is σ = 6840851819571. Its totient is φ = 537636839040.

The previous prime is 1955377129087. The next prime is 1955377129109. The reversal of 1955377129104 is 4019217735591.

The square root of 1955377129104 is 1398348.

It is a perfect power (a square), and thus also a powerful number.

1955377129104 is a `hidden beast` number, since 1 + 9 + 5 + 537 + 7 + 12 + 91 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1955377129109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10923894487 + ... + 10923894665.

Almost surely, 2^{1955377129104} is an apocalyptic number.

1955377129104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1955377129104 is the 1398348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1955377129104

1955377129104 is an abundant number, since it is smaller than the sum of its proper divisors (4885474690467).

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

1955377129104 is an equidigital number, since it uses as much as digits as its factorization.

1955377129104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 1955377129104 in words is "one trillion, nine hundred fifty-five billion, three hundred seventy-seven million, one hundred twenty-nine thousand, one hundred four".