15252212800 has 336 divisors, whose sum is σ = 42431159232. Its totient is φ = 5348761600.

The previous prime is 15252212783. The next prime is 15252212803. The reversal of 15252212800 is 821225251.

It is not an unprimeable number, because it can be changed into a prime (15252212803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77422302 + ... + 77422498.

It is an arithmetic number, because the mean of its divisors is an integer number (126283212).

Almost surely, 2^15252212800 is an apocalyptic number.

15252212800 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 15252212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21215579616).

15252212800 is an abundant number, since it is smaller than the sum of its proper divisors (27178946432).

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

15252212800 is a wasteful number, since it uses less digits than its factorization.

15252212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 15252212800 in words is "fifteen billion, two hundred fifty-two million, two hundred twelve thousand, eight hundred".