21947116492800 has 1152 divisors, whose sum is σ = 83313292608000. Its totient is φ = 5659921612800.

The previous prime is 21947116492781. The next prime is 21947116492811. The reversal of 21947116492800 is 829461174912.

21947116492800 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 71 + 1 + 6 + 492 + 80 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 5201969091 + ... + 5201973309.

It is an arithmetic number, because the mean of its divisors is an integer number (72320566500).

Almost surely, 2^{21947116492800} is an apocalyptic number.

21947116492800 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 21947116492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41656646304000).

21947116492800 is an abundant number, since it is smaller than the sum of its proper divisors (61366176115200).

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

21947116492800 is a wasteful number, since it uses less digits than its factorization.

21947116492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21947116492800 in words is "twenty-one trillion, nine hundred forty-seven billion, one hundred sixteen million, four hundred ninety-two thousand, eight hundred".