29997974753820 has 72 divisors (see below), whose sum is σ = 91009720764144. Its totient is φ = 7998065296128.

The previous prime is 29997974753819. The next prime is 29997974753939. The reversal of 29997974753820 is 2835747979992.

29997974753820 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 7 + 9 + 74 + 7 + 538 + 2 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 29997974753820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13491954 + ... + 15557273.

It is an arithmetic number, because the mean of its divisors is an integer number (1264023899502).

Almost surely, 2^{29997974753820} is an apocalyptic number.

29997974753820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29997974753820 is an abundant number, since it is smaller than the sum of its proper divisors (61011746010324).

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

29997974753820 is a wasteful number, since it uses less digits than its factorization.

29997974753820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29054979 (or 29054974 counting only the distinct ones).

The product of its (nonzero) digits is 4320812160, while the sum is 81.

The spelling of 29997974753820 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred seventy-four million, seven hundred fifty-three thousand, eight hundred twenty".