31497429785600 has 264 divisors, whose sum is σ = 82481769035760. Its totient is φ = 11892727480320.

The previous prime is 31497429785593. The next prime is 31497429785639. The reversal of 31497429785600 is 658792479413.

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 23 ways as a sum of consecutive naturals, for example, 134615912 + ... + 134849688.

It is a 1-persistent number, because it is pandigital, but 2⋅31497429785600 = 62994859571200 is not.

Almost surely, 2^{31497429785600} 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 31497429785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41240884517880).

31497429785600 is an abundant number, since it is smaller than the sum of its proper divisors (50984339250160).

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

31497429785600 is a wasteful number, since it uses less digits than its factorization.

31497429785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234103 (or 234080 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 65.

The spelling of 31497429785600 in words is "thirty-one trillion, four hundred ninety-seven billion, four hundred twenty-nine million, seven hundred eighty-five thousand, six hundred".