21890377474560 has 3360 divisors, whose sum is σ = 98935443351360. Its totient is φ = 4614133579776.

The previous prime is 21890377474549. The next prime is 21890377474583. The reversal of 21890377474560 is 6547477309812.

21890377474560 is a `hidden beast` number, since 2 + 1 + 8 + 90 + 3 + 77 + 474 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 74711185774 + ... + 74711186066.

It is an arithmetic number, because the mean of its divisors is an integer number (29445072426).

It is a 1-persistent number, because it is pandigital, but 2⋅21890377474560 = 43780754949120 is not.

Almost surely, 2^{21890377474560} is an apocalyptic number.

21890377474560 is a gapful number since it is divisible by the number (20) 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 21890377474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49467721675680).

21890377474560 is an abundant number, since it is smaller than the sum of its proper divisors (77045065876800).

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

21890377474560 is an equidigital number, since it uses as much as digits as its factorization.

21890377474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

It can be divided in two parts, 2189037 and 7474560, that added together give a cube (9663597 = 213³).

The spelling of 21890377474560 in words is "twenty-one trillion, eight hundred ninety billion, three hundred seventy-seven million, four hundred seventy-four thousand, five hundred sixty".