92987965440 has 480 divisors, whose sum is σ = 350203210560. Its totient is φ = 23328718848.

The previous prime is 92987965351. The next prime is 92987965451. The reversal of 92987965440 is 4456978929.

92987965440 is a `hidden beast` number, since 9 + 2 + 9 + 87 + 9 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37600044 + ... + 37602516.

It is an arithmetic number, because the mean of its divisors is an integer number (729590022).

Almost surely, 2^92987965440 is an apocalyptic number.

92987965440 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 92987965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175101605280).

92987965440 is an abundant number, since it is smaller than the sum of its proper divisors (257215245120).

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

92987965440 is a wasteful number, since it uses less digits than its factorization.

92987965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 92987965440 in words is "ninety-two billion, nine hundred eighty-seven million, nine hundred sixty-five thousand, four hundred forty".