214099919953920 has 9408 divisors, whose sum is σ = 1132500537331200. Its totient is φ = 37563200962560.

The previous prime is 214099919953883. The next prime is 214099919953967. The reversal of 214099919953920 is 29359919990412.

214099919953920 is a `hidden beast` number, since 2 + 1 + 40 + 9 + 9 + 9 + 199 + 5 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 7382755860466 + ... + 7382755860494.

Almost surely, 2^{214099919953920} is an apocalyptic number.

214099919953920 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 214099919953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566250268665600).

214099919953920 is an abundant number, since it is smaller than the sum of its proper divisors (918400617377280).

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

214099919953920 is a wasteful number, since it uses less digits than its factorization.

214099919953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 127545840, while the sum is 72.

The spelling of 214099919953920 in words is "two hundred fourteen trillion, ninety-nine billion, nine hundred nineteen million, nine hundred fifty-three thousand, nine hundred twenty".