30157470720000 has 2240 divisors, whose sum is σ = 122182164941760. Its totient is φ = 7304380416000.

The previous prime is 30157470719993. The next prime is 30157470720017. The reversal of 30157470720000 is 2707475103.

30157470720000 is a `hidden beast` number, since 30 + 157 + 470 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 174320639914 + ... + 174320640086.

It is an arithmetic number, because the mean of its divisors is an integer number (54545609349).

Almost surely, 2^{30157470720000} is an apocalyptic number.

30157470720000 is a gapful number since it is divisible by the number (30) 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 30157470720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61091082470880).

30157470720000 is an abundant number, since it is smaller than the sum of its proper divisors (92024694221760).

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

30157470720000 is an equidigital number, since it uses as much as digits as its factorization.

30157470720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The spelling of 30157470720000 in words is "thirty trillion, one hundred fifty-seven billion, four hundred seventy million, seven hundred twenty thousand".