15106890240 has 480 divisors, whose sum is σ = 58197275136. Its totient is φ = 3596451840.

The previous prime is 15106890223. The next prime is 15106890257. The reversal of 15106890240 is 4209860151.

It is an interprime number because it is at equal distance from previous prime (15106890223) and next prime (15106890257).

It is a tau number, because it is divible by the number of its divisors (480).

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 = 15106890195 and 15106890204.

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, 9284307 + ... + 9285933.

Almost surely, 2^15106890240 is an apocalyptic number.

15106890240 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 15106890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29098637568).

15106890240 is an abundant number, since it is smaller than the sum of its proper divisors (43090384896).

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

15106890240 is a wasteful number, since it uses less digits than its factorization.

15106890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 15106890240 in words is "fifteen billion, one hundred six million, eight hundred ninety thousand, two hundred forty".