15955430400 has 792 divisors, whose sum is σ = 70403764704. Its totient is φ = 3361996800.

The previous prime is 15955430363. The next prime is 15955430401. The reversal of 15955430400 is 403455951.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15955430401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20966020 + ... + 20966780.

Almost surely, 2^15955430400 is an apocalyptic number.

15955430400 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 15955430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35201882352).

15955430400 is an abundant number, since it is smaller than the sum of its proper divisors (54448334304).

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

15955430400 is a wasteful number, since it uses less digits than its factorization.

15955430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 15955430400 in words is "fifteen billion, nine hundred fifty-five million, four hundred thirty thousand, four hundred".