97771069440 has 1344 divisors, whose sum is σ = 412191037440. Its totient is φ = 21976842240.

The previous prime is 97771069433. The next prime is 97771069441. The reversal of 97771069440 is 4496017779.

97771069440 is a `hidden beast` number, since 9 + 77 + 71 + 0 + 69 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (97771069441) 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, 2080235497 + ... + 2080235543.

It is an arithmetic number, because the mean of its divisors is an integer number (306689760).

Almost surely, 2^97771069440 is an apocalyptic number.

97771069440 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 97771069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206095518720).

97771069440 is an abundant number, since it is smaller than the sum of its proper divisors (314419968000).

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

97771069440 is a wasteful number, since it uses less digits than its factorization.

97771069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 97771069440 in words is "ninety-seven billion, seven hundred seventy-one million, sixty-nine thousand, four hundred forty".