125216662560 has 384 divisors, whose sum is σ = 450028099584. Its totient is φ = 28969205760.

The previous prime is 125216662547. The next prime is 125216662603. The reversal of 125216662560 is 65266612521.

It is a happy 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, 70069987 + ... + 70071773.

It is an arithmetic number, because the mean of its divisors is an integer number (1171948176).

Almost surely, 2^125216662560 is an apocalyptic number.

125216662560 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 125216662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225014049792).

125216662560 is an abundant number, since it is smaller than the sum of its proper divisors (324811437024).

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

125216662560 is a wasteful number, since it uses less digits than its factorization.

125216662560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 125216662560 in words is "one hundred twenty-five billion, two hundred sixteen million, six hundred sixty-two thousand, five hundred sixty".