21767319113904 has 2160 divisors, whose sum is σ = 86231871378432. Its totient is φ = 4998541197312.

The previous prime is 21767319113899. The next prime is 21767319113971. The reversal of 21767319113904 is 40931191376712.

It is a happy number.

21767319113904 is a `hidden beast` number, since 2 + 1 + 7 + 67 + 3 + 191 + 1 + 390 + 4 = 666.

It is a super-2 number, since 2×21767319113904² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 49136160307 + ... + 49136160749.

Almost surely, 2^{21767319113904} is an apocalyptic number.

21767319113904 is a gapful number since it is divisible by the number (24) 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 21767319113904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43115935689216).

21767319113904 is an abundant number, since it is smaller than the sum of its proper divisors (64464552264528).

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

21767319113904 is a wasteful number, since it uses less digits than its factorization.

21767319113904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 21767319113904 in words is "twenty-one trillion, seven hundred sixty-seven billion, three hundred nineteen million, one hundred thirteen thousand, nine hundred four".