15642359040 has 288 divisors, whose sum is σ = 62286206976. Its totient is φ = 3250298880.

The previous prime is 15642359021. The next prime is 15642359069. The reversal of 15642359040 is 4095324651.

It is a self number, because there is not a number n which added to its sum of digits gives 15642359040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269229 + ... + 322131.

It is an arithmetic number, because the mean of its divisors is an integer number (216271552).

Almost surely, 2^15642359040 is an apocalyptic number.

15642359040 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 15642359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31143103488).

15642359040 is an abundant number, since it is smaller than the sum of its proper divisors (46643847936).

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

15642359040 is a wasteful number, since it uses less digits than its factorization.

15642359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52945 (or 52931 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

It can be divided in two parts, 15 and 642359040, that multiplied together give a square (9635385600 = 98160²).

The spelling of 15642359040 in words is "fifteen billion, six hundred forty-two million, three hundred fifty-nine thousand, forty".