127406610000 has 150 divisors (see below), whose sum is σ = 445559633090. Its totient is φ = 33975072000.

The previous prime is 127406609987. The next prime is 127406610029. The reversal of 127406610000 is 16604721.

127406610000 is a `hidden beast` number, since 1 + 2 + 7 + 40 + 6 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 52411692096 + 74994917904 = 228936^2 + 273852^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 617815 + ... + 797814.

Almost surely, 2^127406610000 is an apocalyptic number.

127406610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127406610000 is an abundant number, since it is smaller than the sum of its proper divisors (318153023090).

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

127406610000 is a wasteful number, since it uses less digits than its factorization.

127406610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415663 (or 1415639 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 127406610000 in words is "one hundred twenty-seven billion, four hundred six million, six hundred ten thousand".