20951801177472 has 1152 divisors, whose sum is σ = 70896254607360. Its totient is φ = 5924717568000.

The previous prime is 20951801177453. The next prime is 20951801177533. The reversal of 20951801177472 is 27477110815902.

20951801177472 is a `hidden beast` number, since 2 + 0 + 9 + 51 + 8 + 0 + 117 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14419683498 + ... + 14419684950.

It is an arithmetic number, because the mean of its divisors is an integer number (61541887680).

Almost surely, 2^{20951801177472} is an apocalyptic number.

20951801177472 is a gapful number since it is divisible by the number (22) 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 20951801177472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35448127303680).

20951801177472 is an abundant number, since it is smaller than the sum of its proper divisors (49944453429888).

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

20951801177472 is a wasteful number, since it uses less digits than its factorization.

20951801177472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 20951801177472 in words is "twenty trillion, nine hundred fifty-one billion, eight hundred one million, one hundred seventy-seven thousand, four hundred seventy-two".