125791455081600 has 4608 divisors, whose sum is σ = 619889124556800. Its totient is φ = 24174526464000.

The previous prime is 125791455081553. The next prime is 125791455081647. The reversal of 125791455081600 is 6180554197521.

125791455081600 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 9 + 1 + 4 + 550 + 81 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (125791455081553) and next prime (125791455081647).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 109099266624 + ... + 109099267776.

It is an arithmetic number, because the mean of its divisors is an integer number (134524549600).

Almost surely, 2^{125791455081600} is an apocalyptic number.

125791455081600 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 125791455081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309944562278400).

125791455081600 is an abundant number, since it is smaller than the sum of its proper divisors (494097669475200).

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

125791455081600 is a wasteful number, since it uses less digits than its factorization.

125791455081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 125791455081600 in words is "one hundred twenty-five trillion, seven hundred ninety-one billion, four hundred fifty-five million, eighty-one thousand, six hundred".