97849883040 has 768 divisors, whose sum is σ = 395370823680. Its totient is φ = 19787120640.

The previous prime is 97849883003. The next prime is 97849883101. The reversal of 97849883040 is 4038894879.

It is a super-2 number, since 2×97849883040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 171967876 + ... + 171968444.

It is an arithmetic number, because the mean of its divisors is an integer number (514805760).

Almost surely, 2^97849883040 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 97849883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197685411840).

97849883040 is an abundant number, since it is smaller than the sum of its proper divisors (297520940640).

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

97849883040 is a wasteful number, since it uses less digits than its factorization.

97849883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 97849883040 in words is "ninety-seven billion, eight hundred forty-nine million, eight hundred eighty-three thousand, forty".