5401236556800 has 2640 divisors, whose sum is σ = 23948915474880. Its totient is φ = 1177194332160.

The previous prime is 5401236556787. The next prime is 5401236556823. The reversal of 5401236556800 is 86556321045.

5401236556800 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 23 + 65 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 47798553544 + ... + 47798553656.

It is an arithmetic number, because the mean of its divisors is an integer number (9071558892).

Almost surely, 2^{5401236556800} is an apocalyptic number.

5401236556800 is a gapful number since it is divisible by the number (50) 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 5401236556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974457737440).

5401236556800 is an abundant number, since it is smaller than the sum of its proper divisors (18547678918080).

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

5401236556800 is a wasteful number, since it uses less digits than its factorization.

5401236556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5401236556800 in words is "five trillion, four hundred one billion, two hundred thirty-six million, five hundred fifty-six thousand, eight hundred".