15550002165600 has 864 divisors, whose sum is σ = 64685159884800. Its totient is φ = 3440764293120.

The previous prime is 15550002165547. The next prime is 15550002165661. The reversal of 15550002165600 is 656120005551.

15550002165600 is a `hidden beast` number, since 15 + 5 + 500 + 0 + 21 + 65 + 60 + 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 143 ways as a sum of consecutive naturals, for example, 371074249 + ... + 371116151.

It is an arithmetic number, because the mean of its divisors is an integer number (74867083200).

Almost surely, 2^{15550002165600} is an apocalyptic number.

15550002165600 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 15550002165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32342579942400).

15550002165600 is an abundant number, since it is smaller than the sum of its proper divisors (49135157719200).

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

15550002165600 is a wasteful number, since it uses less digits than its factorization.

15550002165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42172 (or 42156 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 15550002165600 in words is "fifteen trillion, five hundred fifty billion, two million, one hundred sixty-five thousand, six hundred".