15540417864 has 128 divisors (see below), whose sum is σ = 43687036800. Its totient is φ = 5118197760.

The previous prime is 15540417863. The next prime is 15540417877. The reversal of 15540417864 is 46871404551.

15540417864 is a `hidden beast` number, since 1 + 5 + 540 + 41 + 7 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (15540417863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7271004 + ... + 7273140.

It is an arithmetic number, because the mean of its divisors is an integer number (341304975).

Almost surely, 2^15540417864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15540417864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21843518400).

15540417864 is an abundant number, since it is smaller than the sum of its proper divisors (28146618936).

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

15540417864 is a wasteful number, since it uses less digits than its factorization.

15540417864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 15540417864 in words is "fifteen billion, five hundred forty million, four hundred seventeen thousand, eight hundred sixty-four".