15613556490000 has 1200 divisors, whose sum is σ = 65274173078400. Its totient is φ = 3561812352000.

The previous prime is 15613556489983. The next prime is 15613556490043. The reversal of 15613556490000 is 9465531651.

15613556490000 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 3 + 556 + 4 + 90 + 0 + 0 + 0 = 666.

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

It is a super-2 number, since 2×15613556490000² (a number of 27 digits) contains 22 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 10015109221 + ... + 10015110779.

It is an arithmetic number, because the mean of its divisors is an integer number (54395144232).

Almost surely, 2^{15613556490000} is an apocalyptic number.

15613556490000 is a gapful number since it is divisible by the number (10) 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 15613556490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32637086539200).

15613556490000 is an abundant number, since it is smaller than the sum of its proper divisors (49660616588400).

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

15613556490000 is a wasteful number, since it uses less digits than its factorization.

15613556490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 15613556490000 in words is "fifteen trillion, six hundred thirteen billion, five hundred fifty-six million, four hundred ninety thousand".