15225116800 has 192 divisors, whose sum is σ = 40518120960. Its totient is φ = 5636505600.

The previous prime is 15225116779. The next prime is 15225116801. The reversal of 15225116800 is 861152251.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15225116801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2278264 + ... + 2284936.

It is an arithmetic number, because the mean of its divisors is an integer number (211031880).

Almost surely, 2^15225116800 is an apocalyptic number.

15225116800 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 15225116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20259060480).

15225116800 is an abundant number, since it is smaller than the sum of its proper divisors (25293004160).

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

15225116800 is a wasteful number, since it uses less digits than its factorization.

15225116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 15225116800 in words is "fifteen billion, two hundred twenty-five million, one hundred sixteen thousand, eight hundred".