15797507040 has 288 divisors, whose sum is σ = 65235119040. Its totient is φ = 3398418432.

The previous prime is 15797507039. The next prime is 15797507053. The reversal of 15797507040 is 4070579751.

15797507040 is a `hidden beast` number, since 1 + 57 + 97 + 507 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×15797507040² (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 a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 125266 + ... + 217454.

It is an arithmetic number, because the mean of its divisors is an integer number (226510830).

Almost surely, 2^15797507040 is an apocalyptic number.

15797507040 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 15797507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32617559520).

15797507040 is an abundant number, since it is smaller than the sum of its proper divisors (49437612000).

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

15797507040 is a wasteful number, since it uses less digits than its factorization.

15797507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92234 (or 92223 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 15797507040 in words is "fifteen billion, seven hundred ninety-seven million, five hundred seven thousand, forty".