126752690880 has 672 divisors, whose sum is σ = 497368055808. Its totient is φ = 29439590400.

The previous prime is 126752690843. The next prime is 126752690917. The reversal of 126752690880 is 88096257621.

126752690880 is a `hidden beast` number, since 1 + 26 + 7 + 526 + 90 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (126752690843) and next prime (126752690917).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34906665 + ... + 34910295.

Almost surely, 2^126752690880 is an apocalyptic number.

126752690880 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 126752690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248684027904).

126752690880 is an abundant number, since it is smaller than the sum of its proper divisors (370615364928).

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

126752690880 is a wasteful number, since it uses less digits than its factorization.

126752690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 126752690880 in words is "one hundred twenty-six billion, seven hundred fifty-two million, six hundred ninety thousand, eight hundred eighty".