21769965383400 has 192 divisors, whose sum is σ = 80753547067200. Its totient is φ = 5358760692480.

The previous prime is 21769965383393. The next prime is 21769965383461. The reversal of 21769965383400 is 438356996712.

21769965383400 is a `hidden beast` number, since 2 + 1 + 7 + 6 + 9 + 96 + 538 + 3 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154986534 + ... + 155126933.

It is an arithmetic number, because the mean of its divisors is an integer number (420591390975).

It is a 1-persistent number, because it is pandigital, but 2⋅21769965383400 = 43539930766800 is not.

Almost surely, 2^{21769965383400} is an apocalyptic number.

21769965383400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21769965383400 is an abundant number, since it is smaller than the sum of its proper divisors (58983581683800).

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

21769965383400 is a wasteful number, since it uses less digits than its factorization.

21769965383400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310113505 (or 310113490 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 21769965383400 in words is "twenty-one trillion, seven hundred sixty-nine billion, nine hundred sixty-five million, three hundred eighty-three thousand, four hundred".