15342565680 has 240 divisors, whose sum is σ = 55774555200. Its totient is φ = 3757197312.

The previous prime is 15342565627. The next prime is 15342565697. The reversal of 15342565680 is 8656524351.

15342565680 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 2 + 565 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×15342565680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858522 + ... + 1866758.

It is an arithmetic number, because the mean of its divisors is an integer number (232393980).

Almost surely, 2^15342565680 is an apocalyptic number.

15342565680 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 15342565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27887277600).

15342565680 is an abundant number, since it is smaller than the sum of its proper divisors (40431989520).

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

15342565680 is a wasteful number, since it uses less digits than its factorization.

15342565680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 15342565680 in words is "fifteen billion, three hundred forty-two million, five hundred sixty-five thousand, six hundred eighty".