117070827984 has 300 divisors, whose sum is σ = 382525524612. Its totient is φ = 34515486720.

The previous prime is 117070827943. The next prime is 117070828003. The reversal of 117070827984 is 489728070711.

It can be written as a sum of positive squares in 2 ways, for example, as 94187610000 + 22883217984 = 306900^2 + 151272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 117070827984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5792104 + ... + 5812280.

Almost surely, 2^117070827984 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 117070827984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191262762306).

117070827984 is an abundant number, since it is smaller than the sum of its proper divisors (265454696628).

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

117070827984 is a wasteful number, since it uses less digits than its factorization.

117070827984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256 (or 20230 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 117070827984 in words is "one hundred seventeen billion, seventy million, eight hundred twenty-seven thousand, nine hundred eighty-four".