15765061440 has 112 divisors (see below), whose sum is σ = 50118264000. Its totient is φ = 4198625280.

The previous prime is 15765061421. The next prime is 15765061471. The reversal of 15765061440 is 4416056751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768436 + ... + 788684.

It is an arithmetic number, because the mean of its divisors is an integer number (447484500).

Almost surely, 2^15765061440 is an apocalyptic number.

15765061440 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 15765061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059132000).

15765061440 is an abundant number, since it is smaller than the sum of its proper divisors (34353202560).

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

15765061440 is a wasteful number, since it uses less digits than its factorization.

15765061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21080 (or 21070 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 15765061440 in words is "fifteen billion, seven hundred sixty-five million, sixty-one thousand, four hundred forty".