15661049930400 has 576 divisors, whose sum is σ = 61810293888000. Its totient is φ = 3362317516800.

The previous prime is 15661049930387. The next prime is 15661049930437. The reversal of 15661049930400 is 403994016651.

It is a happy number.

15661049930400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15661049930400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142459455 + ... + 142569345.

It is an arithmetic number, because the mean of its divisors is an integer number (107309538000).

Almost surely, 2^{15661049930400} is an apocalyptic number.

15661049930400 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 15661049930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905146944000).

15661049930400 is an abundant number, since it is smaller than the sum of its proper divisors (46149243957600).

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

15661049930400 is a wasteful number, since it uses less digits than its factorization.

15661049930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110437 (or 110424 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 15661049930400 in words is "fifteen trillion, six hundred sixty-one billion, forty-nine million, nine hundred thirty thousand, four hundred".