90629591217088 has 448 divisors, whose sum is σ = 227203502570496. Its totient is φ = 34844479488000.

The previous prime is 90629591217073. The next prime is 90629591217103. The reversal of 90629591217088 is 88071219592609.

It is an interprime number because it is at equal distance from previous prime (90629591217073) and next prime (90629591217103).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96311998698 + ... + 96311999638.

Almost surely, 2^{90629591217088} 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 90629591217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113601751285248).

90629591217088 is an abundant number, since it is smaller than the sum of its proper divisors (136573911353408).

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

90629591217088 is a wasteful number, since it uses less digits than its factorization.

90629591217088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 67.

The spelling of 90629591217088 in words is "ninety trillion, six hundred twenty-nine billion, five hundred ninety-one million, two hundred seventeen thousand, eighty-eight".