31261240001600 has 168 divisors, whose sum is σ = 88068919924800. Its totient is φ = 10698894673920.

The previous prime is 31261240001599. The next prime is 31261240001617. The reversal of 31261240001600 is 610004216213.

It is a self number, because there is not a number n which added to its sum of digits gives 31261240001600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3732851 + ... + 8743949.

Almost surely, 2^{31261240001600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31261240001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44034459962400).

31261240001600 is an abundant number, since it is smaller than the sum of its proper divisors (56807679923200).

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

31261240001600 is a wasteful number, since it uses less digits than its factorization.

31261240001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011685 (or 5011670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 31261240001600 its reverse (610004216213), we get a palindrome (31871244217813).

The spelling of 31261240001600 in words is "thirty-one trillion, two hundred sixty-one billion, two hundred forty million, one thousand, six hundred".