90739361280 has 160 divisors (see below), whose sum is σ = 292300005888. Its totient is φ = 24012185600.

The previous prime is 90739361269. The next prime is 90739361309. The reversal of 90739361280 is 8216393709.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960985 + ... + 1051175.

Almost surely, 2^90739361280 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 90739361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146150002944).

90739361280 is an abundant number, since it is smaller than the sum of its proper divisors (201560644608).

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

90739361280 is a wasteful number, since it uses less digits than its factorization.

90739361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90348 (or 90332 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 90739361280 in words is "ninety billion, seven hundred thirty-nine million, three hundred sixty-one thousand, two hundred eighty".