117839292480 has 1764 divisors, whose sum is σ = 538632765252. Its totient is φ = 24455208960.

The previous prime is 117839292463. The next prime is 117839292511. The reversal of 117839292480 is 84292938711.

117839292480 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 392 + 9 + 248 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 56351163456 + 61488129024 = 237384^2 + 247968^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

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

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1931791650 + ... + 1931791710.

Almost surely, 2^117839292480 is an apocalyptic number.

117839292480 is a gapful number since it is divisible by the number (10) 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 117839292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269316382626).

117839292480 is an abundant number, since it is smaller than the sum of its proper divisors (420793472772).

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

117839292480 is an equidigital number, since it uses as much as digits as its factorization.

117839292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 117839292480 in words is "one hundred seventeen billion, eight hundred thirty-nine million, two hundred ninety-two thousand, four hundred eighty".