116265965004 has 960 divisors, whose sum is σ = 409812480000. Its totient is φ = 28531077120.

The previous prime is 116265964979. The next prime is 116265965017. The reversal of 116265965004 is 400569562611.

116265965004 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 6 + 596 + 50 + 0 + 4 = 666.

It is a super-2 number, since 2×116265965004² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1471721037 + ... + 1471721115.

It is an arithmetic number, because the mean of its divisors is an integer number (426888000).

Almost surely, 2^116265965004 is an apocalyptic number.

116265965004 is a gapful number since it is divisible by the number (14) 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 116265965004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204906240000).

116265965004 is an abundant number, since it is smaller than the sum of its proper divisors (293546514996).

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

116265965004 is a wasteful number, since it uses less digits than its factorization.

116265965004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 116265965004 in words is "one hundred sixteen billion, two hundred sixty-five million, nine hundred sixty-five thousand, four".