54635122080 has 960 divisors, whose sum is σ = 245167388928. Its totient is φ = 11127767040.

The previous prime is 54635122049. The next prime is 54635122097. The reversal of 54635122080 is 8022153645.

54635122080 is a `hidden beast` number, since 5 + 4 + 6 + 351 + 220 + 80 = 666.

54635122080 is a nontrivial binomial coefficient, being equal to C(330561, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52889244 + ... + 52890276.

Almost surely, 2^54635122080 is an apocalyptic number.

54635122080 is the 330560-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54635122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122583694464).

54635122080 is an abundant number, since it is smaller than the sum of its proper divisors (190532266848).

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

54635122080 is a wasteful number, since it uses less digits than its factorization.

54635122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 54635 and 122080, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 54635122080 in words is "fifty-four billion, six hundred thirty-five million, one hundred twenty-two thousand, eighty".