21776716131840 has 480 divisors, whose sum is σ = 79193910327840. Its totient is φ = 5672041611264.

The previous prime is 21776716131829. The next prime is 21776716131851. The reversal of 21776716131840 is 4813161767712.

21776716131840 is a `hidden beast` number, since 2 + 1 + 7 + 7 + 6 + 7 + 1 + 613 + 18 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21776716131829) and next prime (21776716131851).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 127717684 + ... + 127888076.

It is an arithmetic number, because the mean of its divisors is an integer number (164987313183).

Almost surely, 2^{21776716131840} is an apocalyptic number.

21776716131840 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 21776716131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39596955163920).

21776716131840 is an abundant number, since it is smaller than the sum of its proper divisors (57417194196000).

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

21776716131840 is an equidigital number, since it uses as much as digits as its factorization.

21776716131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170511 (or 170446 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 21776716131840 in words is "twenty-one trillion, seven hundred seventy-six billion, seven hundred sixteen million, one hundred thirty-one thousand, eight hundred forty".