97833890016 has 576 divisors, whose sum is σ = 317099059200. Its totient is φ = 29273840640.

The previous prime is 97833889973. The next prime is 97833890017. The reversal of 97833890016 is 61009833879.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97833890017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897558570 + ... + 897558678.

It is an arithmetic number, because the mean of its divisors is an integer number (550519200).

Almost surely, 2^97833890016 is an apocalyptic number.

97833890016 is a gapful number since it is divisible by the number (96) 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 97833890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158549529600).

97833890016 is an abundant number, since it is smaller than the sum of its proper divisors (219265169184).

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

97833890016 is a wasteful number, since it uses less digits than its factorization.

97833890016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 97833890016 in words is "ninety-seven billion, eight hundred thirty-three million, eight hundred ninety thousand, sixteen".