117581952429088 has 192 divisors, whose sum is σ = 273656296488960. Its totient is φ = 48687264617472.

The previous prime is 117581952429037. The next prime is 117581952429091. The reversal of 117581952429088 is 880924259185711.

It is a super-3 number, since 3×117581952429088³ (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 31 ways as a sum of consecutive naturals, for example, 7454626770 + ... + 7454642542.

It is an arithmetic number, because the mean of its divisors is an integer number (1425293210880).

Almost surely, 2^{117581952429088} 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 117581952429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136828148244480).

117581952429088 is an abundant number, since it is smaller than the sum of its proper divisors (156074344059872).

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

117581952429088 is a wasteful number, since it uses less digits than its factorization.

117581952429088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24879 (or 24871 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 70.

The spelling of 117581952429088 in words is "one hundred seventeen trillion, five hundred eighty-one billion, nine hundred fifty-two million, four hundred twenty-nine thousand, eighty-eight".