2117764116000 has 1920 divisors, whose sum is σ = 8745726173184. Its totient is φ = 498510028800.

The previous prime is 2117764115969. The next prime is 2117764116001. The reversal of 2117764116000 is 6114677112.

2117764116000 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 7 + 6 + 41 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×2117764116000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2117764116001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16675307937 + ... + 16675308063.

Almost surely, 2^{2117764116000} is an apocalyptic number.

2117764116000 is a gapful number since it is divisible by the number (20) 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 2117764116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372863086592).

2117764116000 is an abundant number, since it is smaller than the sum of its proper divisors (6627962057184).

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

2117764116000 is a wasteful number, since it uses less digits than its factorization.

2117764116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 2117764116000 in words is "two trillion, one hundred seventeen billion, seven hundred sixty-four million, one hundred sixteen thousand".