5015505009600 has 1344 divisors, whose sum is σ = 19644372679680. Its totient is φ = 1241937100800.

The previous prime is 5015505009527. The next prime is 5015505009637. The reversal of 5015505009600 is 69005055105.

5015505009600 is a `hidden beast` number, since 5 + 0 + 15 + 50 + 500 + 96 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 5030596302 + ... + 5030597298.

It is an arithmetic number, because the mean of its divisors is an integer number (14616348720).

Almost surely, 2^{5015505009600} is an apocalyptic number.

5015505009600 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 5015505009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822186339840).

5015505009600 is an abundant number, since it is smaller than the sum of its proper divisors (14628867670080).

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

5015505009600 is a wasteful number, since it uses less digits than its factorization.

5015505009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 5015505009600 in words is "five trillion, fifteen billion, five hundred five million, nine thousand, six hundred".