97435921440000 has 2880 divisors, whose sum is σ = 406789305753600. Its totient is φ = 20359987200000.

The previous prime is 97435921439933. The next prime is 97435921440049. The reversal of 97435921440000 is 4412953479.

97435921440000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 61707359211 + ... + 61707360789.

It is an arithmetic number, because the mean of its divisors is an integer number (141246286720).

Almost surely, 2^{97435921440000} 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 97435921440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203394652876800).

97435921440000 is an abundant number, since it is smaller than the sum of its proper divisors (309353384313600).

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

97435921440000 is a wasteful number, since it uses less digits than its factorization.

97435921440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 97435921440000 in words is "ninety-seven trillion, four hundred thirty-five billion, nine hundred twenty-one million, four hundred forty thousand".