30157155403200 has 672 divisors, whose sum is σ = 125919244224000. Its totient is φ = 6877681090560.

The previous prime is 30157155403187. The next prime is 30157155403241. The reversal of 30157155403200 is 230455175103.

30157155403200 is a `hidden beast` number, since 3 + 0 + 1 + 5 + 71 + 554 + 0 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 135666547 + ... + 135888653.

Almost surely, 2^{30157155403200} is an apocalyptic number.

30157155403200 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 30157155403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62959622112000).

30157155403200 is an abundant number, since it is smaller than the sum of its proper divisors (95762088820800).

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

30157155403200 is a wasteful number, since it uses less digits than its factorization.

30157155403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222594 (or 222573 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 30157155403200 in words is "thirty trillion, one hundred fifty-seven billion, one hundred fifty-five million, four hundred three thousand, two hundred".