200974028713920 has 2520 divisors, whose sum is σ = 937491831215280. Its totient is φ = 40411013529600.

The previous prime is 200974028713903. The next prime is 200974028713957. The reversal of 200974028713920 is 29317820479002.

It is a happy number.

200974028713920 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 7 + 402 + 87 + 139 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 13426008196 + ... + 13426023164.

Almost surely, 2^{200974028713920} is an apocalyptic number.

200974028713920 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 200974028713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468745915607640).

200974028713920 is an abundant number, since it is smaller than the sum of its proper divisors (736517802501360).

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

200974028713920 is a wasteful number, since it uses less digits than its factorization.

200974028713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15085 (or 15028 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 200974028713920 in words is "two hundred trillion, nine hundred seventy-four billion, twenty-eight million, seven hundred thirteen thousand, nine hundred twenty".