116721132721920 has 432 divisors, whose sum is σ = 427913192179200. Its totient is φ = 29292154675200.

The previous prime is 116721132721891. The next prime is 116721132721951. The reversal of 116721132721920 is 29127231127611.

116721132721920 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 211 + 327 + 21 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31285101 + ... + 34816659.

Almost surely, 2^{116721132721920} is an apocalyptic number.

116721132721920 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 116721132721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213956596089600).

116721132721920 is an abundant number, since it is smaller than the sum of its proper divisors (311192059457280).

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

116721132721920 is a wasteful number, since it uses less digits than its factorization.

116721132721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3531756 (or 3531739 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 116721132721920 in words is "one hundred sixteen trillion, seven hundred twenty-one billion, one hundred thirty-two million, seven hundred twenty-one thousand, nine hundred twenty".