54178790400 has 594 divisors, whose sum is σ = 225703857600. Its totient is φ = 12381143040.

The previous prime is 54178790383. The next prime is 54178790429. The reversal of 54178790400 is 409787145.

It is a happy number.

54178790400 is a `hidden beast` number, since 5 + 4 + 178 + 79 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11287201 + ... + 11291999.

Almost surely, 2^54178790400 is an apocalyptic number.

54178790400 is a gapful number since it is divisible by the number (50) 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 54178790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112851928800).

54178790400 is an abundant number, since it is smaller than the sum of its proper divisors (171525067200).

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

54178790400 is a wasteful number, since it uses less digits than its factorization.

54178790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 54178790400 in words is "fifty-four billion, one hundred seventy-eight million, seven hundred ninety thousand, four hundred".