54201692160 has 1664 divisors, whose sum is σ = 256660070400. Its totient is φ = 10510663680.

The previous prime is 54201692147. The next prime is 54201692219. The reversal of 54201692160 is 6129610245.

54201692160 is a `hidden beast` number, since 5 + 420 + 16 + 9 + 216 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 808980447 + ... + 808980513.

Almost surely, 2^54201692160 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 54201692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128330035200).

54201692160 is an abundant number, since it is smaller than the sum of its proper divisors (202458378240).

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

54201692160 is a wasteful number, since it uses less digits than its factorization.

54201692160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 54201692160 in words is "fifty-four billion, two hundred one million, six hundred ninety-two thousand, one hundred sixty".