90779121349696 has 896 divisors, whose sum is σ = 229350466953216. Its totient is φ = 35185030594560.

The previous prime is 90779121349681. The next prime is 90779121349793. The reversal of 90779121349696 is 69694312197709.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42164012556 + ... + 42164014708.

It is an arithmetic number, because the mean of its divisors is an integer number (255971503296).

Almost surely, 2^{90779121349696} 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 90779121349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114675233476608).

90779121349696 is an abundant number, since it is smaller than the sum of its proper divisors (138571345603520).

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

90779121349696 is a wasteful number, since it uses less digits than its factorization.

90779121349696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 73.

The spelling of 90779121349696 in words is "ninety trillion, seven hundred seventy-nine billion, one hundred twenty-one million, three hundred forty-nine thousand, six hundred ninety-six".