54093699072 has 768 divisors, whose sum is σ = 194987520000. Its totient is φ = 14491975680.

The previous prime is 54093699059. The next prime is 54093699089. The reversal of 54093699072 is 27099639045.

54093699072 is a `hidden beast` number, since 540 + 9 + 3 + 6 + 9 + 90 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×54093699072² (a number of 22 digits) contains 22 as substring.

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

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, 684730329 + ... + 684730407.

It is an arithmetic number, because the mean of its divisors is an integer number (253890000).

Almost surely, 2^54093699072 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 54093699072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760000).

54093699072 is an abundant number, since it is smaller than the sum of its proper divisors (140893820928).

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

54093699072 is a wasteful number, since it uses less digits than its factorization.

54093699072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 54093699072 in words is "fifty-four billion, ninety-three million, six hundred ninety-nine thousand, seventy-two".