54421392001536 has 800 divisors, whose sum is σ = 188260752683520. Its totient is φ = 15330328510464.

The previous prime is 54421392001531. The next prime is 54421392001547. The reversal of 54421392001536 is 63510029312445.

54421392001536 is a `hidden beast` number, since 5 + 4 + 4 + 21 + 3 + 92 + 0 + 0 + 1 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54421392001491 and 54421392001500.

It is not an unprimeable number, because it can be changed into a prime (54421392001531) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9637219065 + ... + 9637224711.

Almost surely, 2^{54421392001536} is an apocalyptic number.

54421392001536 is a gapful number since it is divisible by the number (56) 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 54421392001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94130376341760).

54421392001536 is an abundant number, since it is smaller than the sum of its proper divisors (133839360681984).

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

54421392001536 is an equidigital number, since it uses as much as digits as its factorization.

54421392001536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6146 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54421392001536 in words is "fifty-four trillion, four hundred twenty-one billion, three hundred ninety-two million, one thousand, five hundred thirty-six".