30690020187600 has 240 divisors, whose sum is σ = 105029145799680. Its totient is φ = 7637547456000.

The previous prime is 30690020187527. The next prime is 30690020187643. The reversal of 30690020187600 is 678102009603.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8517576 + ... + 11572775.

It is an arithmetic number, because the mean of its divisors is an integer number (437621440832).

Almost surely, 2^{30690020187600} is an apocalyptic number.

30690020187600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30690020187600 is an abundant number, since it is smaller than the sum of its proper divisors (74339125612080).

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

30690020187600 is a wasteful number, since it uses less digits than its factorization.

30690020187600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20090458 (or 20090447 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 30690020187600 in words is "thirty trillion, six hundred ninety billion, twenty million, one hundred eighty-seven thousand, six hundred".