30887451152640 has 864 divisors, whose sum is σ = 113398716517632. Its totient is φ = 8047226880000.

The previous prime is 30887451152609. The next prime is 30887451152641. The reversal of 30887451152640 is 4625115478803.

It is a happy number.

30887451152640 is a `hidden beast` number, since 3 + 0 + 8 + 8 + 74 + 5 + 1 + 1 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30887451152641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2864984050 + ... + 2864994830.

It is an arithmetic number, because the mean of its divisors is an integer number (131248514488).

Almost surely, 2^{30887451152640} is an apocalyptic number.

30887451152640 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 30887451152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56699358258816).

30887451152640 is an abundant number, since it is smaller than the sum of its proper divisors (82511265364992).

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

30887451152640 is a wasteful number, since it uses less digits than its factorization.

30887451152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11029 (or 11003 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 30887451152640 in words is "thirty trillion, eight hundred eighty-seven billion, four hundred fifty-one million, one hundred fifty-two thousand, six hundred forty".