15258378240 has 784 divisors, whose sum is σ = 63604310688. Its totient is φ = 3439853568.

The previous prime is 15258378221. The next prime is 15258378259. The reversal of 15258378240 is 4287385251.

15258378240 is a `hidden beast` number, since 1 + 5 + 258 + 378 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15258378221) and next prime (15258378259).

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209018844 + ... + 209018916.

Almost surely, 2^15258378240 is an apocalyptic number.

15258378240 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 15258378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31802155344).

15258378240 is an abundant number, since it is smaller than the sum of its proper divisors (48345932448).

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

15258378240 is an frugal number, since it uses more digits than its factorization.

15258378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 15258378240 in words is "fifteen billion, two hundred fifty-eight million, three hundred seventy-eight thousand, two hundred forty".