15201012400 has 240 divisors, whose sum is σ = 45276477120. Its totient is φ = 4784947200.

The previous prime is 15201012353. The next prime is 15201012467. The reversal of 15201012400 is 421010251.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 1947706 + ... + 1955494.

It is an arithmetic number, because the mean of its divisors is an integer number (188651988).

Almost surely, 2^15201012400 is an apocalyptic number.

15201012400 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 15201012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22638238560).

15201012400 is an abundant number, since it is smaller than the sum of its proper divisors (30075464720).

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

15201012400 is a wasteful number, since it uses less digits than its factorization.

15201012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7872 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 15201012400 its reverse (421010251), we get a palindrome (15622022651).

The spelling of 15201012400 in words is "fifteen billion, two hundred one million, twelve thousand, four hundred".