126615936240 has 320 divisors, whose sum is σ = 456374599680. Its totient is φ = 32226232320.

The previous prime is 126615936191. The next prime is 126615936263. The reversal of 126615936240 is 42639516621.

126615936240 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 15 + 9 + 3 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4875129 + ... + 4901031.

It is an arithmetic number, because the mean of its divisors is an integer number (1426170624).

Almost surely, 2^126615936240 is an apocalyptic number.

126615936240 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 126615936240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228187299840).

126615936240 is an abundant number, since it is smaller than the sum of its proper divisors (329758663440).

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

126615936240 is a wasteful number, since it uses less digits than its factorization.

126615936240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26029 (or 26017 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 126615936240 in words is "one hundred twenty-six billion, six hundred fifteen million, nine hundred thirty-six thousand, two hundred forty".