125267284560 has 160 divisors (see below), whose sum is σ = 423833051520. Its totient is φ = 30353356800.

The previous prime is 125267284559. The next prime is 125267284567. The reversal of 125267284560 is 65482762521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125267284567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6170106 + ... + 6190374.

It is an arithmetic number, because the mean of its divisors is an integer number (2648956572).

Almost surely, 2^125267284560 is an apocalyptic number.

125267284560 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 125267284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211916525760).

125267284560 is an abundant number, since it is smaller than the sum of its proper divisors (298565766960).

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

125267284560 is a wasteful number, since it uses less digits than its factorization.

125267284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22637 (or 22631 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 125267284560 in words is "one hundred twenty-five billion, two hundred sixty-seven million, two hundred eighty-four thousand, five hundred sixty".