31455013620000 has 240 divisors, whose sum is σ = 103211094127680. Its totient is φ = 8385373056000.

The previous prime is 31455013619977. The next prime is 31455013620029. The reversal of 31455013620000 is 2631055413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 31455013620000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195099421 + ... + 195260579.

It is an arithmetic number, because the mean of its divisors is an integer number (430046225532).

Almost surely, 2^{31455013620000} is an apocalyptic number.

31455013620000 is a gapful number since it is divisible by the number (30) 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 31455013620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51605547063840).

31455013620000 is an abundant number, since it is smaller than the sum of its proper divisors (71756080507680).

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

31455013620000 is a wasteful number, since it uses less digits than its factorization.

31455013620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164445 (or 164422 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 31455013620000 its reverse (2631055413), we get a palindrome (31457644675413).

The spelling of 31455013620000 in words is "thirty-one trillion, four hundred fifty-five billion, thirteen million, six hundred twenty thousand".