93577240221696 has 576 divisors, whose sum is σ = 337225821004800. Its totient is φ = 24286445568000.

The previous prime is 93577240221629. The next prime is 93577240221697. The reversal of 93577240221696 is 69612204277539.

93577240221696 is a `hidden beast` number, since 9 + 3 + 5 + 7 + 7 + 2 + 402 + 216 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93577240221697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1829405721 + ... + 1829456871.

It is an arithmetic number, because the mean of its divisors is an integer number (585461494800).

Almost surely, 2^{93577240221696} is an apocalyptic number.

93577240221696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93577240221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168612910502400).

93577240221696 is an abundant number, since it is smaller than the sum of its proper divisors (243648580783104).

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

93577240221696 is a wasteful number, since it uses less digits than its factorization.

93577240221696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52486 (or 52463 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 93577240221696 in words is "ninety-three trillion, five hundred seventy-seven billion, two hundred forty million, two hundred twenty-one thousand, six hundred ninety-six".