15216161040 has 200 divisors, whose sum is σ = 52994608128. Its totient is φ = 4046388480.

The previous prime is 15216161033. The next prime is 15216161041. The reversal of 15216161040 is 4016161251.

15216161040 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 6 + 1 + 610 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15216160995 and 15216161013.

It is not an unprimeable number, because it can be changed into a prime (15216161041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2478775 + ... + 2484905.

Almost surely, 2^15216161040 is an apocalyptic number.

15216161040 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 15216161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26497304064).

15216161040 is an abundant number, since it is smaller than the sum of its proper divisors (37778447088).

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

15216161040 is a wasteful number, since it uses less digits than its factorization.

15216161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6539 (or 6524 counting only the distinct ones).

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

The spelling of 15216161040 in words is "fifteen billion, two hundred sixteen million, one hundred sixty-one thousand, forty".