15396796800 has 1152 divisors, whose sum is σ = 70320856320. Its totient is φ = 3115008000.

The previous prime is 15396796769. The next prime is 15396796801. The reversal of 15396796800 is 869769351.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×15396796800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15396796801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117532735 + ... + 117532865.

It is an arithmetic number, because the mean of its divisors is an integer number (61042410).

Almost surely, 2^15396796800 is an apocalyptic number.

15396796800 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 15396796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35160428160).

15396796800 is an abundant number, since it is smaller than the sum of its proper divisors (54924059520).

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

15396796800 is a wasteful number, since it uses less digits than its factorization.

15396796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 15396796800 in words is "fifteen billion, three hundred ninety-six million, seven hundred ninety-six thousand, eight hundred".