130722874502400 has 1296 divisors, whose sum is σ = 495567055984000. Its totient is φ = 32783715532800.

The previous prime is 130722874502327. The next prime is 130722874502413. The reversal of 130722874502400 is 4205478227031.

130722874502400 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 22 + 87 + 4 + 502 + 40 + 0 = 666.

130722874502400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 115786425036 + ... + 115786426164.

Almost surely, 2^{130722874502400} is an apocalyptic number.

130722874502400 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 130722874502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247783527992000).

130722874502400 is an abundant number, since it is smaller than the sum of its proper divisors (364844181481600).

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

130722874502400 is a wasteful number, since it uses less digits than its factorization.

130722874502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 130722874502400 in words is "one hundred thirty trillion, seven hundred twenty-two billion, eight hundred seventy-four million, five hundred two thousand, four hundred".