2161276992000 has 960 divisors, whose sum is σ = 9226555962624. Its totient is φ = 493981286400.

The previous prime is 2161276991977. The next prime is 2161276992013. The reversal of 2161276992000 is 2996721612.

2161276992000 is a `hidden beast` number, since 2 + 1 + 612 + 7 + 6 + 9 + 9 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2161276992000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108854074 + ... + 108873926.

Almost surely, 2^{2161276992000} is an apocalyptic number.

2161276992000 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 2161276992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613277981312).

2161276992000 is an abundant number, since it is smaller than the sum of its proper divisors (7065278970624).

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

2161276992000 is an frugal number, since it uses more digits than its factorization.

2161276992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 2161276992000 in words is "two trillion, one hundred sixty-one billion, two hundred seventy-six million, nine hundred ninety-two thousand".