30872150618400 has 1728 divisors, whose sum is σ = 138785773142016. Its totient is φ = 6281763840000.

The previous prime is 30872150618339. The next prime is 30872150618443. The reversal of 30872150618400 is 481605127803.

30872150618400 is a `hidden beast` number, since 3 + 0 + 8 + 7 + 21 + 5 + 0 + 618 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×30872150618400³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6235535925 + ... + 6235540875.

Almost surely, 2^{30872150618400} is an apocalyptic number.

30872150618400 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 30872150618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69392886571008).

30872150618400 is an abundant number, since it is smaller than the sum of its proper divisors (107913622523616).

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

30872150618400 is a wasteful number, since it uses less digits than its factorization.

30872150618400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 30872150618400 in words is "thirty trillion, eight hundred seventy-two billion, one hundred fifty million, six hundred eighteen thousand, four hundred".