54916813728 has 192 divisors, whose sum is σ = 189368928000. Its totient is φ = 15149417472.

The previous prime is 54916813697. The next prime is 54916813759. The reversal of 54916813728 is 82731861945.

54916813728 is a `hidden beast` number, since 5 + 491 + 6 + 81 + 3 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (54916813697) and next prime (54916813759).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18838 + ... + 331946.

It is an arithmetic number, because the mean of its divisors is an integer number (986296500).

Almost surely, 2^54916813728 is an apocalyptic number.

54916813728 is a gapful number since it is divisible by the number (58) 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 54916813728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94684464000).

54916813728 is an abundant number, since it is smaller than the sum of its proper divisors (134452114272).

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

54916813728 is a wasteful number, since it uses less digits than its factorization.

54916813728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313164 (or 313150 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 54916813728 in words is "fifty-four billion, nine hundred sixteen million, eight hundred thirteen thousand, seven hundred twenty-eight".