130927826400 has 288 divisors, whose sum is σ = 490163627520. Its totient is φ = 29735147520.

The previous prime is 130927826383. The next prime is 130927826423. The reversal of 130927826400 is 4628729031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612781 + ... + 2662419.

It is an arithmetic number, because the mean of its divisors is an integer number (1701957040).

Almost surely, 2^130927826400 is an apocalyptic number.

130927826400 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 130927826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245081813760).

130927826400 is an abundant number, since it is smaller than the sum of its proper divisors (359235801120).

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

130927826400 is a wasteful number, since it uses less digits than its factorization.

130927826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49826 (or 49813 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 130927826400 in words is "one hundred thirty billion, nine hundred twenty-seven million, eight hundred twenty-six thousand, four hundred".