54084989835360 has 768 divisors, whose sum is σ = 207562410316800. Its totient is φ = 13044569702400.

The previous prime is 54084989835313. The next prime is 54084989835431. The reversal of 54084989835360 is 6353898948045.

It is a happy number.

54084989835360 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 4 + 9 + 8 + 9 + 83 + 536 + 0 = 666.

It is a super-2 number, since 2×54084989835360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18541304622 + ... + 18541307538.

It is an arithmetic number, because the mean of its divisors is an integer number (270263555100).

Almost surely, 2^{54084989835360} 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 54084989835360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103781205158400).

54084989835360 is an abundant number, since it is smaller than the sum of its proper divisors (153477420481440).

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

54084989835360 is a wasteful number, since it uses less digits than its factorization.

54084989835360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 54084989835360 in words is "fifty-four trillion, eighty-four billion, nine hundred eighty-nine million, eight hundred thirty-five thousand, three hundred sixty".