2137911865600 has 405 divisors, whose sum is σ = 6189837531423. Its totient is φ = 731033210880.

The previous prime is 2137911865589. The next prime is 2137911865613. The reversal of 2137911865600 is 65681197312.

The square root of 2137911865600 is 1462160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20584214784 + 2117327650816 = 143472^2 + 1455104^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5731667014 + ... + 5731667386.

Almost surely, 2^{2137911865600} is an apocalyptic number.

2137911865600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2137911865600 is the 1462160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137911865600

2137911865600 is an abundant number, since it is smaller than the sum of its proper divisors (4051925665823).

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

2137911865600 is an frugal number, since it uses more digits than its factorization.

2137911865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 2137911865600 by its sum of digits (49), we get a square (104757681414400 = 10235120²).

2137911865600 divided by its sum of digits (49) gives a square (43630854400 = 208880²).

The spelling of 2137911865600 in words is "two trillion, one hundred thirty-seven billion, nine hundred eleven million, eight hundred sixty-five thousand, six hundred".