54293702400 has 972 divisors, whose sum is σ = 237561013872. Its totient is φ = 11548753920.

The previous prime is 54293702329. The next prime is 54293702413. The reversal of 54293702400 is 420739245.

54293702400 is a `hidden beast` number, since 5 + 42 + 9 + 370 + 240 + 0 = 666.

It is a super-2 number, since 2×54293702400² (a number of 22 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 610041556 + ... + 610041644.

Almost surely, 2^54293702400 is an apocalyptic number.

54293702400 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 54293702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118780506936).

54293702400 is an abundant number, since it is smaller than the sum of its proper divisors (183267311472).

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

54293702400 is a wasteful number, since it uses less digits than its factorization.

54293702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 54293702400 in words is "fifty-four billion, two hundred ninety-three million, seven hundred two thousand, four hundred".