5308651904400 has 1200 divisors, whose sum is σ = 21060048195648. Its totient is φ = 1272651264000.

The previous prime is 5308651904377. The next prime is 5308651904407. The reversal of 5308651904400 is 44091568035.

5308651904400 is a `hidden beast` number, since 5 + 30 + 86 + 51 + 90 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (5308651904407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2749171435 + ... + 2749173365.

Almost surely, 2^{5308651904400} is an apocalyptic number.

5308651904400 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 5308651904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530024097824).

5308651904400 is an abundant number, since it is smaller than the sum of its proper divisors (15751396291248).

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

5308651904400 is a wasteful number, since it uses less digits than its factorization.

5308651904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5308651904400 in words is "five trillion, three hundred eight billion, six hundred fifty-one million, nine hundred four thousand, four hundred".