116596972800 has 2160 divisors, whose sum is σ = 565275820032. Its totient is φ = 22992076800.

The previous prime is 116596972787. The next prime is 116596972813. The reversal of 116596972800 is 8279695611.

It is an interprime number because it is at equal distance from previous prime (116596972787) and next prime (116596972813).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×116596972800² (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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 918086337 + ... + 918086463.

Almost surely, 2^116596972800 is an apocalyptic number.

116596972800 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 116596972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282637910016).

116596972800 is an abundant number, since it is smaller than the sum of its proper divisors (448678847232).

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

116596972800 is a wasteful number, since it uses less digits than its factorization.

116596972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

It can be divided in two parts, 1165969 and 72800, that added together give a square (1238769 = 1113²).

The spelling of 116596972800 in words is "one hundred sixteen billion, five hundred ninety-six million, nine hundred seventy-two thousand, eight hundred".