54164183040 has 864 divisors, whose sum is σ = 216199685520. Its totient is φ = 12435456000.

The previous prime is 54164183039. The next prime is 54164183083. The reversal of 54164183040 is 4038146145.

54164183040 is a `hidden beast` number, since 5 + 4 + 1 + 641 + 8 + 3 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54164182986 and 54164183004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 536278990 + ... + 536279090.

Almost surely, 2^54164183040 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 54164183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108099842760).

54164183040 is an abundant number, since it is smaller than the sum of its proper divisors (162035502480).

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

54164183040 is a wasteful number, since it uses less digits than its factorization.

54164183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54164183040 in words is "fifty-four billion, one hundred sixty-four million, one hundred eighty-three thousand, forty".