15138270195840 has 1920 divisors, whose sum is σ = 61923680501760. Its totient is φ = 3517787750400.

The previous prime is 15138270195833. The next prime is 15138270195911. The reversal of 15138270195840 is 4859107283151.

15138270195840 is a `hidden beast` number, since 1 + 5 + 1 + 38 + 27 + 0 + 1 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24695383374 + ... + 24695383986.

It is an arithmetic number, because the mean of its divisors is an integer number (32251916928).

Almost surely, 2^{15138270195840} is an apocalyptic number.

15138270195840 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 15138270195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30961840250880).

15138270195840 is an abundant number, since it is smaller than the sum of its proper divisors (46785410305920).

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

15138270195840 is a wasteful number, since it uses less digits than its factorization.

15138270195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 15138270195840 in words is "fifteen trillion, one hundred thirty-eight billion, two hundred seventy million, one hundred ninety-five thousand, eight hundred forty".