97016788440 has 1152 divisors, whose sum is σ = 401548492800. Its totient is φ = 20118067200.

The previous prime is 97016788433. The next prime is 97016788441. The reversal of 97016788440 is 4488761079.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97016788441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 763911657 + ... + 763911783.

It is an arithmetic number, because the mean of its divisors is an integer number (348566400).

Almost surely, 2^97016788440 is an apocalyptic number.

97016788440 is a gapful number since it is divisible by the number (90) 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 97016788440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200774246400).

97016788440 is an abundant number, since it is smaller than the sum of its proper divisors (304531704360).

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

97016788440 is a wasteful number, since it uses less digits than its factorization.

97016788440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 97016788440 in words is "ninety-seven billion, sixteen million, seven hundred eighty-eight thousand, four hundred forty".