13150501797888 has 1020 divisors, whose sum is σ = 49231659574020. Its totient is φ = 3467372396544.

The previous prime is 13150501797869. The next prime is 13150501797893. The reversal of 13150501797888 is 88879710505131.

13150501797888 is a `hidden beast` number, since 1 + 3 + 1 + 50 + 501 + 7 + 9 + 78 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5544555577344 + 7605946220544 = 2354688^2 + 2757888^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3381459048 + ... + 3381462936.

Almost surely, 2^{13150501797888} is an apocalyptic number.

13150501797888 is a gapful number since it is divisible by the number (18) 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 13150501797888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24615829787010).

13150501797888 is an abundant number, since it is smaller than the sum of its proper divisors (36081157776132).

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

13150501797888 is an frugal number, since it uses more digits than its factorization.

13150501797888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 63.

The spelling of 13150501797888 in words is "thirteen trillion, one hundred fifty billion, five hundred one million, seven hundred ninety-seven thousand, eight hundred eighty-eight".