21557045922048 has 2016 divisors, whose sum is σ = 83562904803840. Its totient is φ = 5391970467840.

The previous prime is 21557045922047. The next prime is 21557045922053. The reversal of 21557045922048 is 84022954075512.

21557045922048 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 7 + 0 + 4 + 592 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 21557045921985 and 21557045922003.

It is not an unprimeable number, because it can be changed into a prime (21557045922047) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 89448323208 + ... + 89448323448.

Almost surely, 2^{21557045922048} is an apocalyptic number.

21557045922048 is a gapful number since it is divisible by the number (28) 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 21557045922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41781452401920).

21557045922048 is an abundant number, since it is smaller than the sum of its proper divisors (62005858881792).

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

21557045922048 is a wasteful number, since it uses less digits than its factorization.

21557045922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 21557045922048 in words is "twenty-one trillion, five hundred fifty-seven billion, forty-five million, nine hundred twenty-two thousand, forty-eight".