125635276800 has 1404 divisors, whose sum is σ = 539748697176. Its totient is φ = 28665446400.

The previous prime is 125635276787. The next prime is 125635276831. The reversal of 125635276800 is 8672536521.

125635276800 is a `hidden beast` number, since 1 + 2 + 5 + 63 + 527 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×125635276800² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7390310392 + ... + 7390310408.

It is an arithmetic number, because the mean of its divisors is an integer number (384436394).

Almost surely, 2^125635276800 is an apocalyptic number.

125635276800 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 125635276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269874348588).

125635276800 is an abundant number, since it is smaller than the sum of its proper divisors (414113420376).

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

125635276800 is an frugal number, since it uses more digits than its factorization.

125635276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 125635276800 in words is "one hundred twenty-five billion, six hundred thirty-five million, two hundred seventy-six thousand, eight hundred".