116084778480 has 320 divisors, whose sum is σ = 442347402240. Its totient is φ = 27744998400.

The previous prime is 116084778461. The next prime is 116084778541. The reversal of 116084778480 is 84877480611.

116084778480 is a `hidden beast` number, since 1 + 16 + 0 + 8 + 477 + 84 + 80 = 666.

It is a super-2 number, since 2×116084778480² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1652554 + ... + 1721366.

It is an arithmetic number, because the mean of its divisors is an integer number (1382335632).

Almost surely, 2^116084778480 is an apocalyptic number.

116084778480 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 116084778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221173701120).

116084778480 is an abundant number, since it is smaller than the sum of its proper divisors (326262623760).

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

116084778480 is a wasteful number, since it uses less digits than its factorization.

116084778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68917 (or 68905 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 116084778480 in words is "one hundred sixteen billion, eighty-four million, seven hundred seventy-eight thousand, four hundred eighty".