2116213931520 has 800 divisors, whose sum is σ = 8285194276128. Its totient is φ = 513095565312.

The previous prime is 2116213931479. The next prime is 2116213931563. The reversal of 2116213931520 is 251393126112.

It is a happy number.

2116213931520 is a `hidden beast` number, since 2 + 1 + 1 + 621 + 3 + 9 + 3 + 1 + 5 + 20 = 666.

It is a super-2 number, since 2×2116213931520² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180604702 + ... + 180616418.

Almost surely, 2^{2116213931520} is an apocalyptic number.

2116213931520 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 2116213931520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142597138064).

2116213931520 is an abundant number, since it is smaller than the sum of its proper divisors (6168980344608).

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

2116213931520 is a wasteful number, since it uses less digits than its factorization.

2116213931520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11832 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 2116213931520 in words is "two trillion, one hundred sixteen billion, two hundred thirteen million, nine hundred thirty-one thousand, five hundred twenty".