15901142400 has 1296 divisors, whose sum is σ = 70033525380. Its totient is φ = 3558297600.

The previous prime is 15901142399. The next prime is 15901142401. The reversal of 15901142400 is 424110951.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (15901142399) and next prime (15901142401).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15901142401) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1223164794 + ... + 1223164806.

Almost surely, 2^15901142400 is an apocalyptic number.

15901142400 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 15901142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35016762690).

15901142400 is an abundant number, since it is smaller than the sum of its proper divisors (54132382980).

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

15901142400 is a wasteful number, since it uses less digits than its factorization.

15901142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 15901142400 in words is "fifteen billion, nine hundred one million, one hundred forty-two thousand, four hundred".