2116431362160 has 240 divisors, whose sum is σ = 7537513130784. Its totient is φ = 530354700288.

The previous prime is 2116431362147. The next prime is 2116431362173. The reversal of 2116431362160 is 612631346112.

2116431362160 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 431 + 3 + 6 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2116431362147) and next prime (2116431362173).

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 7735864 + ... + 8004776.

Almost surely, 2^{2116431362160} is an apocalyptic number.

2116431362160 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 2116431362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768756565392).

2116431362160 is an abundant number, since it is smaller than the sum of its proper divisors (5421081768624).

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

2116431362160 is a wasteful number, since it uses less digits than its factorization.

2116431362160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269592 (or 269583 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2116431362160 in words is "two trillion, one hundred sixteen billion, four hundred thirty-one million, three hundred sixty-two thousand, one hundred sixty".