54079012680 has 512 divisors, whose sum is σ = 213110784000. Its totient is φ = 10871884800.

The previous prime is 54079012657. The next prime is 54079012709. The reversal of 54079012680 is 8621097045.

It is a super-2 number, since 2×54079012680² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14033634 + ... + 14037486.

It is an arithmetic number, because the mean of its divisors is an integer number (416232000).

Almost surely, 2^54079012680 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 54079012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555392000).

54079012680 is an abundant number, since it is smaller than the sum of its proper divisors (159031771320).

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

54079012680 is a wasteful number, since it uses less digits than its factorization.

54079012680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 54079012680 in words is "fifty-four billion, seventy-nine million, twelve thousand, six hundred eighty".