116436771360 has 864 divisors, whose sum is σ = 519503362560. Its totient is φ = 23494496256.

The previous prime is 116436771307. The next prime is 116436771371. The reversal of 116436771360 is 63177634611.

116436771360 is a `hidden beast` number, since 1 + 16 + 436 + 77 + 136 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21094681 + ... + 21100199.

It is an arithmetic number, because the mean of its divisors is an integer number (601277040).

Almost surely, 2^116436771360 is an apocalyptic number.

116436771360 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 116436771360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259751681280).

116436771360 is an abundant number, since it is smaller than the sum of its proper divisors (403066591200).

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

116436771360 is a wasteful number, since it uses less digits than its factorization.

116436771360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 116436771360 in words is "one hundred sixteen billion, four hundred thirty-six million, seven hundred seventy-one thousand, three hundred sixty".