54405142176 has 576 divisors, whose sum is σ = 188351339904. Its totient is φ = 13586227200.

The previous prime is 54405142157. The next prime is 54405142193. The reversal of 54405142176 is 67124150445.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300580806 + ... + 300580986.

It is an arithmetic number, because the mean of its divisors is an integer number (326998854).

Almost surely, 2^54405142176 is an apocalyptic number.

54405142176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54405142176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94175669952).

54405142176 is an abundant number, since it is smaller than the sum of its proper divisors (133946197728).

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

54405142176 is a wasteful number, since it uses less digits than its factorization.

54405142176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 54405142176 in words is "fifty-four billion, four hundred five million, one hundred forty-two thousand, one hundred seventy-six".