127003057700 has 72 divisors (see below), whose sum is σ = 291875896872. Its totient is φ = 47801825280.

The previous prime is 127003057697. The next prime is 127003057729. The reversal of 127003057700 is 7750300721.

It can be written as a sum of positive squares in 12 ways, for example, as 602898916 + 126400158784 = 24554^2 + 355528^2 .

It is a super-2 number, since 2×127003057700² (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 23 ways as a sum of consecutive naturals, for example, 13685462 + ... + 13694738.

It is an arithmetic number, because the mean of its divisors is an integer number (4053831901).

Almost surely, 2^127003057700 is an apocalyptic number.

127003057700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127003057700 is an abundant number, since it is smaller than the sum of its proper divisors (164872839172).

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

127003057700 is a wasteful number, since it uses less digits than its factorization.

127003057700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17361 (or 17354 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 32.

The spelling of 127003057700 in words is "one hundred twenty-seven billion, three million, fifty-seven thousand, seven hundred".