5307149469600 has 432 divisors, whose sum is σ = 20540938358304. Its totient is φ = 1278685440000.

The previous prime is 5307149469563. The next prime is 5307149469617. The reversal of 5307149469600 is 69649417035.

5307149469600 is a `hidden beast` number, since 5 + 30 + 7 + 1 + 494 + 69 + 60 + 0 = 666.

It is a super-2 number, since 2×5307149469600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12704050 + ... + 13115150.

It is an arithmetic number, because the mean of its divisors is an integer number (47548468422).

Almost surely, 2^{5307149469600} is an apocalyptic number.

5307149469600 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 5307149469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270469179152).

5307149469600 is an abundant number, since it is smaller than the sum of its proper divisors (15233788888704).

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

5307149469600 is a wasteful number, since it uses less digits than its factorization.

5307149469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411301 (or 411285 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 5307149469600 in words is "five trillion, three hundred seven billion, one hundred forty-nine million, four hundred sixty-nine thousand, six hundred".