15225170400 has 576 divisors, whose sum is σ = 60633619200. Its totient is φ = 3656448000.

The previous prime is 15225170357. The next prime is 15225170419. The reversal of 15225170400 is 407152251.

15225170400 is a `hidden beast` number, since 1 + 5 + 2 + 251 + 7 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33026170 + ... + 33026630.

It is an arithmetic number, because the mean of its divisors is an integer number (105266700).

Almost surely, 2^15225170400 is an apocalyptic number.

15225170400 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 15225170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30316809600).

15225170400 is an abundant number, since it is smaller than the sum of its proper divisors (45408448800).

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

15225170400 is a wasteful number, since it uses less digits than its factorization.

15225170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 15225170400 in words is "fifteen billion, two hundred twenty-five million, one hundred seventy thousand, four hundred".