125777664000 has 768 divisors, whose sum is σ = 480801484800. Its totient is φ = 32403456000.

The previous prime is 125777663993. The next prime is 125777664029. The reversal of 125777664000 is 466777521.

125777664000 is a `hidden beast` number, since 1 + 2 + 577 + 76 + 6 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×125777664000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 214271707 + ... + 214272293.

It is an arithmetic number, because the mean of its divisors is an integer number (626043600).

Almost surely, 2^125777664000 is an apocalyptic number.

125777664000 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 125777664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240400742400).

125777664000 is an abundant number, since it is smaller than the sum of its proper divisors (355023820800).

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

125777664000 is an equidigital number, since it uses as much as digits as its factorization.

125777664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 125777664000 in words is "one hundred twenty-five billion, seven hundred seventy-seven million, six hundred sixty-four thousand".