126257987584 has 63 divisors (see below), whose sum is σ = 253245663307. Its totient is φ = 62947065856.

The previous prime is 126257987539. The next prime is 126257987623. The reversal of 126257987584 is 485789752621.

The square root of 126257987584 is 355328.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×126257987584² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 363855699 + ... + 363856045.

Almost surely, 2^126257987584 is an apocalyptic number.

126257987584 is the 355328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126257987584

126257987584 is an abundant number, since it is smaller than the sum of its proper divisors (126987675723).

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

126257987584 is an frugal number, since it uses more digits than its factorization.

126257987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 349 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 64.

Multiplying 126257987584 by its sum of digits (64), we get a square (8080511205376 = 2842624²).

126257987584 divided by its sum of digits (64) gives a square (1972781056 = 44416²).

The spelling of 126257987584 in words is "one hundred twenty-six billion, two hundred fifty-seven million, nine hundred eighty-seven thousand, five hundred eighty-four".