15790170240 has 384 divisors, whose sum is σ = 60567436800. Its totient is φ = 3886092288.

The previous prime is 15790170203. The next prime is 15790170301. The reversal of 15790170240 is 4207109751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15790170195 and 15790170204.

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, 2917617 + ... + 2923023.

It is an arithmetic number, because the mean of its divisors is an integer number (157727700).

Almost surely, 2^15790170240 is an apocalyptic number.

15790170240 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 15790170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30283718400).

15790170240 is an abundant number, since it is smaller than the sum of its proper divisors (44777266560).

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

15790170240 is a wasteful number, since it uses less digits than its factorization.

15790170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Adding to 15790170240 its reverse (4207109751), we get a palindrome (19997279991).

The spelling of 15790170240 in words is "fifteen billion, seven hundred ninety million, one hundred seventy thousand, two hundred forty".