5625600354000 has 240 divisors, whose sum is σ = 21434560939584. Its totient is φ = 1363781856000.

The previous prime is 5625600353999. The next prime is 5625600354019. The reversal of 5625600354000 is 4530065265.

It is a happy number.

5625600354000 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 600 + 3 + 5 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14008062 + ... + 14404061.

Almost surely, 2^{5625600354000} is an apocalyptic number.

5625600354000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5625600354000 is an abundant number, since it is smaller than the sum of its proper divisors (15808960585584).

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

5625600354000 is a wasteful number, since it uses less digits than its factorization.

5625600354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28412163 (or 28412144 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 5625600354000 in words is "five trillion, six hundred twenty-five billion, six hundred million, three hundred fifty-four thousand".