126270900864 has 512 divisors, whose sum is σ = 403461734400. Its totient is φ = 38779969536.

The previous prime is 126270900857. The next prime is 126270900871. The reversal of 126270900864 is 468009072621.

It is a happy number.

126270900864 is a `hidden beast` number, since 12 + 627 + 0 + 9 + 0 + 0 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (126270900857) and next prime (126270900871).

It is a super-2 number, since 2×126270900864² (a number of 23 digits) contains 22 as substring.

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, 272723097 + ... + 272723559.

It is an arithmetic number, because the mean of its divisors is an integer number (788011200).

Almost surely, 2^126270900864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126270900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201730867200).

126270900864 is an abundant number, since it is smaller than the sum of its proper divisors (277190833536).

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

126270900864 is a wasteful number, since it uses less digits than its factorization.

126270900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 126270900864 in words is "one hundred twenty-six billion, two hundred seventy million, nine hundred thousand, eight hundred sixty-four".