125627273760 has 192 divisors, whose sum is σ = 403755891840. Its totient is φ = 32822599680.

The previous prime is 125627273749. The next prime is 125627273819. The reversal of 125627273760 is 67372726521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20628796 + ... + 20634884.

It is an arithmetic number, because the mean of its divisors is an integer number (2102895270).

Almost surely, 2^125627273760 is an apocalyptic number.

125627273760 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 125627273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201877945920).

125627273760 is an abundant number, since it is smaller than the sum of its proper divisors (278128618080).

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

125627273760 is a wasteful number, since it uses less digits than its factorization.

125627273760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6971 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 125627273760 in words is "one hundred twenty-five billion, six hundred twenty-seven million, two hundred seventy-three thousand, seven hundred sixty".