2139920521200 has 1920 divisors, whose sum is σ = 9943720704000. Its totient is φ = 424076083200.

The previous prime is 2139920521187. The next prime is 2139920521217. The reversal of 2139920521200 is 21250299312.

2139920521200 is a `hidden beast` number, since 2 + 1 + 3 + 99 + 20 + 521 + 20 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 2146359102 + ... + 2146360098.

It is an arithmetic number, because the mean of its divisors is an integer number (5179021200).

Almost surely, 2^{2139920521200} is an apocalyptic number.

2139920521200 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 2139920521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971860352000).

2139920521200 is an abundant number, since it is smaller than the sum of its proper divisors (7803800182800).

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

2139920521200 is a wasteful number, since it uses less digits than its factorization.

2139920521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1143 counting only the distinct ones).

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

The spelling of 2139920521200 in words is "two trillion, one hundred thirty-nine billion, nine hundred twenty million, five hundred twenty-one thousand, two hundred".