15901132455936 has 864 divisors, whose sum is σ = 57710047449600. Its totient is φ = 4192317997056.

The previous prime is 15901132455931. The next prime is 15901132455953. The reversal of 15901132455936 is 63955423110951.

15901132455936 is a `hidden beast` number, since 1 + 5 + 9 + 0 + 1 + 1 + 3 + 2 + 45 + 593 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (15901132455931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5260048921 + ... + 5260051943.

It is an arithmetic number, because the mean of its divisors is an integer number (66794036400).

Almost surely, 2^{15901132455936} is an apocalyptic number.

15901132455936 is a gapful number since it is divisible by the number (16) 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 15901132455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28855023724800).

15901132455936 is an abundant number, since it is smaller than the sum of its proper divisors (41808914993664).

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

15901132455936 is an frugal number, since it uses more digits than its factorization.

15901132455936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 15901132455936 in words is "fifteen trillion, nine hundred one billion, one hundred thirty-two million, four hundred fifty-five thousand, nine hundred thirty-six".