127657520624640 has 352 divisors, whose sum is σ = 426328665108480. Its totient is φ = 32541154246656.

The previous prime is 127657520624633. The next prime is 127657520624659. The reversal of 127657520624640 is 46426025756721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557714697 + ... + 557943543.

Almost surely, 2^{127657520624640} is an apocalyptic number.

127657520624640 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 127657520624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213164332554240).

127657520624640 is an abundant number, since it is smaller than the sum of its proper divisors (298671144483840).

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

127657520624640 is a wasteful number, since it uses less digits than its factorization.

127657520624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230477 (or 230459 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 57.

The spelling of 127657520624640 in words is "one hundred twenty-seven trillion, six hundred fifty-seven billion, five hundred twenty million, six hundred twenty-four thousand, six hundred forty".