54153827964 has 192 divisors, whose sum is σ = 156234355200. Its totient is φ = 16144966656.

The previous prime is 54153827939. The next prime is 54153827977. The reversal of 54153827964 is 46972835145.

It is a happy number.

54153827964 is a `hidden beast` number, since 5 + 41 + 538 + 2 + 7 + 9 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54153827964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911807 + ... + 2930345.

It is an arithmetic number, because the mean of its divisors is an integer number (813720600).

Almost surely, 2^54153827964 is an apocalyptic number.

54153827964 is a gapful number since it is divisible by the number (54) 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 54153827964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78117177600).

54153827964 is an abundant number, since it is smaller than the sum of its proper divisors (102080527236).

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

54153827964 is a wasteful number, since it uses less digits than its factorization.

54153827964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18649 (or 18641 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 54153827964 in words is "fifty-four billion, one hundred fifty-three million, eight hundred twenty-seven thousand, nine hundred sixty-four".