116173964880 has 640 divisors, whose sum is σ = 433547251200. Its totient is φ = 28844605440.

The previous prime is 116173964869. The next prime is 116173964891. The reversal of 116173964880 is 88469371611.

116173964880 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 73 + 96 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116173964869) and next prime (116173964891).

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

It is a congruent number.

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, 413430340 + ... + 413430620.

It is an arithmetic number, because the mean of its divisors is an integer number (677417580).

Almost surely, 2^116173964880 is an apocalyptic number.

116173964880 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 116173964880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216773625600).

116173964880 is an abundant number, since it is smaller than the sum of its proper divisors (317373286320).

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

116173964880 is a wasteful number, since it uses less digits than its factorization.

116173964880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

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

The spelling of 116173964880 in words is "one hundred sixteen billion, one hundred seventy-three million, nine hundred sixty-four thousand, eight hundred eighty".