125072263680 has 640 divisors, whose sum is σ = 518066841600. Its totient is φ = 24997330944.

The previous prime is 125072263649. The next prime is 125072263717. The reversal of 125072263680 is 86362270521.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×125072263680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13274011 + ... + 13283429.

It is an arithmetic number, because the mean of its divisors is an integer number (809479440).

Almost surely, 2^125072263680 is an apocalyptic number.

125072263680 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 125072263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259033420800).

125072263680 is an abundant number, since it is smaller than the sum of its proper divisors (392994577920).

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

125072263680 is a wasteful number, since it uses less digits than its factorization.

125072263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9484 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 125072263680 in words is "one hundred twenty-five billion, seventy-two million, two hundred sixty-three thousand, six hundred eighty".