90261719396352 has 624 divisors, whose sum is σ = 310522828262400. Its totient is φ = 25240193040384.

The previous prime is 90261719396279. The next prime is 90261719396369. The reversal of 90261719396352 is 25369391716209.

90261719396352 is a `hidden beast` number, since 9 + 0 + 2 + 6 + 1 + 7 + 193 + 96 + 352 = 666.

90261719396352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90261719396352.

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, 594208603 + ... + 594360485.

It is an arithmetic number, because the mean of its divisors is an integer number (497632737600).

Almost surely, 2^{90261719396352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90261719396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155261414131200).

90261719396352 is an abundant number, since it is smaller than the sum of its proper divisors (220261108866048).

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

90261719396352 is a wasteful number, since it uses less digits than its factorization.

90261719396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151981 (or 151942 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 90261719396352 in words is "ninety trillion, two hundred sixty-one billion, seven hundred nineteen million, three hundred ninety-six thousand, three hundred fifty-two".