127070564400 has 1200 divisors, whose sum is σ = 518073716160. Its totient is φ = 29611008000.

The previous prime is 127070564333. The next prime is 127070564437. The reversal of 127070564400 is 4465070721.

127070564400 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 7 + 0 + 5 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×127070564400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1233694749 + ... + 1233694851.

Almost surely, 2^127070564400 is an apocalyptic number.

127070564400 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 127070564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259036858080).

127070564400 is an abundant number, since it is smaller than the sum of its proper divisors (391003151760).

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

127070564400 is a wasteful number, since it uses less digits than its factorization.

127070564400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 127070564400 in words is "one hundred twenty-seven billion, seventy million, five hundred sixty-four thousand, four hundred".