54035942400 has 1320 divisors, whose sum is σ = 229980351744. Its totient is φ = 12408422400.

The previous prime is 54035942357. The next prime is 54035942413. The reversal of 54035942400 is 424953045.

It is a happy number.

54035942400 is a `hidden beast` number, since 5 + 40 + 3 + 594 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-3 number, since 3×54035942400³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 524620749 + ... + 524620851.

Almost surely, 2^54035942400 is an apocalyptic number.

54035942400 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 54035942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114990175872).

54035942400 is an abundant number, since it is smaller than the sum of its proper divisors (175944409344).

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

54035942400 is a wasteful number, since it uses less digits than its factorization.

54035942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 54035942400 in words is "fifty-four billion, thirty-five million, nine hundred forty-two thousand, four hundred".