130570070400 has 1152 divisors, whose sum is σ = 587822376960. Its totient is φ = 26807500800.

The previous prime is 130570070381. The next prime is 130570070429. The reversal of 130570070400 is 4070075031.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 215106897 + ... + 215107503.

It is an arithmetic number, because the mean of its divisors is an integer number (510262480).

Almost surely, 2^130570070400 is an apocalyptic number.

130570070400 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 130570070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293911188480).

130570070400 is an abundant number, since it is smaller than the sum of its proper divisors (457252306560).

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

130570070400 is a wasteful number, since it uses less digits than its factorization.

130570070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The spelling of 130570070400 in words is "one hundred thirty billion, five hundred seventy million, seventy thousand, four hundred".