126297154972560 has 640 divisors, whose sum is σ = 473331049873920. Its totient is φ = 27444289536000.

The previous prime is 126297154972537. The next prime is 126297154972607. The reversal of 126297154972560 is 65279451792621.

126297154972560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 126297154972491 and 126297154972500.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646250860 + ... + 646446260.

It is an arithmetic number, because the mean of its divisors is an integer number (739579765428).

Almost surely, 2^{126297154972560} is an apocalyptic number.

126297154972560 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 126297154972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236665524936960).

126297154972560 is an abundant number, since it is smaller than the sum of its proper divisors (347033894901360).

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

126297154972560 is a wasteful number, since it uses less digits than its factorization.

126297154972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195987 (or 195981 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 126297154972560 in words is "one hundred twenty-six trillion, two hundred ninety-seven billion, one hundred fifty-four million, nine hundred seventy-two thousand, five hundred sixty".