30848839100640 has 480 divisors, whose sum is σ = 125018990490240. Its totient is φ = 7084900224000.

The previous prime is 30848839100627. The next prime is 30848839100741. The reversal of 30848839100640 is 4600193884803.

30848839100640 is a `hidden beast` number, since 30 + 8 + 488 + 3 + 91 + 0 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2985886 + ... + 8403165.

It is an arithmetic number, because the mean of its divisors is an integer number (260456230188).

Almost surely, 2^{30848839100640} is an apocalyptic number.

30848839100640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30848839100640 is an abundant number, since it is smaller than the sum of its proper divisors (94170151389600).

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

30848839100640 is a wasteful number, since it uses less digits than its factorization.

30848839100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11389108 (or 11389091 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 30848839100640 in words is "thirty trillion, eight hundred forty-eight billion, eight hundred thirty-nine million, one hundred thousand, six hundred forty".