21455427143952 has 480 divisors, whose sum is σ = 65760467310720. Its totient is φ = 6763059671040.

The previous prime is 21455427143951. The next prime is 21455427143957. The reversal of 21455427143952 is 25934172455412.

21455427143952 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 542 + 7 + 1 + 4 + 3 + 95 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21455427143951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1586581063 + ... + 1586594585.

It is an arithmetic number, because the mean of its divisors is an integer number (137000973564).

Almost surely, 2^{21455427143952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21455427143952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32880233655360).

21455427143952 is an abundant number, since it is smaller than the sum of its proper divisors (44305040166768).

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

21455427143952 is a wasteful number, since it uses less digits than its factorization.

21455427143952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893 (or 13875 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 21455427143952 in words is "twenty-one trillion, four hundred fifty-five billion, four hundred twenty-seven million, one hundred forty-three thousand, nine hundred fifty-two".