91529945553552 has 640 divisors, whose sum is σ = 274265417318400. Its totient is φ = 26044797542400.

The previous prime is 91529945553511. The next prime is 91529945553691. The reversal of 91529945553552 is 25535554992519.

91529945553552 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×91529945553552³ (a number of 43 digits) contains 333 as substring.

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, 71563678449 + ... + 71563679727.

It is an arithmetic number, because the mean of its divisors is an integer number (428539714560).

Almost surely, 2^{91529945553552} 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 91529945553552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137132708659200).

91529945553552 is an abundant number, since it is smaller than the sum of its proper divisors (182735471764848).

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

91529945553552 is a wasteful number, since it uses less digits than its factorization.

91529945553552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2081 counting only the distinct ones).

The product of its digits is 546750000, while the sum is 69.

The spelling of 91529945553552 in words is "ninety-one trillion, five hundred twenty-nine billion, nine hundred forty-five million, five hundred fifty-three thousand, five hundred fifty-two".