125515716480 has 2048 divisors, whose sum is σ = 609140736000. Its totient is φ = 23622451200.

The previous prime is 125515716439. The next prime is 125515716559. The reversal of 125515716480 is 84617515521.

125515716480 = 22015² + 22016² + ... + 22270².

125515716480 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 157 + 16 + 480 = 666.

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 255 ways as a sum of consecutive naturals, for example, 701205031 + ... + 701205209.

It is an arithmetic number, because the mean of its divisors is an integer number (297432000).

Almost surely, 2^125515716480 is an apocalyptic number.

125515716480 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 125515716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304570368000).

125515716480 is an abundant number, since it is smaller than the sum of its proper divisors (483625019520).

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

125515716480 is a wasteful number, since it uses less digits than its factorization.

125515716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 125515716480 in words is "one hundred twenty-five billion, five hundred fifteen million, seven hundred sixteen thousand, four hundred eighty".