5402592000 has 864 divisors, whose sum is σ = 22173802560. Its totient is φ = 1293926400.

The previous prime is 5402591921. The next prime is 5402592001. The reversal of 5402592000 is 2952045.

5402592000 is a `hidden beast` number, since 5 + 402 + 59 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5402592001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146015982 + ... + 146016018.

Almost surely, 2^5402592000 is an apocalyptic number.

5402592000 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 5402592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11086901280).

5402592000 is an abundant number, since it is smaller than the sum of its proper divisors (16771210560).

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

5402592000 is a wasteful number, since it uses less digits than its factorization.

5402592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5402592000 is about 73502.3264937920. The cubic root of 5402592000 is about 1754.6913037296.

The spelling of 5402592000 in words is "five billion, four hundred two million, five hundred ninety-two thousand".