125671316400 has 240 divisors, whose sum is σ = 511196646400. Its totient is φ = 28724855040.

The previous prime is 125671316383. The next prime is 125671316429. The reversal of 125671316400 is 4613176521.

125671316400 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 7 + 1 + 3 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755560 + ... + 906759.

Almost surely, 2^125671316400 is an apocalyptic number.

125671316400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125671316400 is an abundant number, since it is smaller than the sum of its proper divisors (385525330000).

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

125671316400 is a wasteful number, since it uses less digits than its factorization.

125671316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662353 (or 1662336 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 125671316400 in words is "one hundred twenty-five billion, six hundred seventy-one million, three hundred sixteen thousand, four hundred".