13615319742090 has 256 divisors, whose sum is σ = 37443074826240. Its totient is φ = 3138025856000.

The previous prime is 13615319742071. The next prime is 13615319742103. The reversal of 13615319742090 is 9024791351631.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 557832667 + ... + 557857073.

It is an arithmetic number, because the mean of its divisors is an integer number (146262011040).

Almost surely, 2^{13615319742090} is an apocalyptic number.

13615319742090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13615319742090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18721537413120).

13615319742090 is an abundant number, since it is smaller than the sum of its proper divisors (23827755084150).

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

13615319742090 is a wasteful number, since it uses less digits than its factorization.

13615319742090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25349.

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 13615319742090 in words is "thirteen trillion, six hundred fifteen billion, three hundred nineteen million, seven hundred forty-two thousand, ninety".