92980419840 has 864 divisors, whose sum is σ = 412069222656. Its totient is φ = 18791792640.

The previous prime is 92980419839. The next prime is 92980419841. The reversal of 92980419840 is 4891408929.

It is an interprime number because it is at equal distance from previous prime (92980419839) and next prime (92980419841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92980419841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32819064 + ... + 32821896.

Almost surely, 2^92980419840 is an apocalyptic number.

92980419840 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 92980419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206034611328).

92980419840 is an abundant number, since it is smaller than the sum of its proper divisors (319088802816).

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

92980419840 is a wasteful number, since it uses less digits than its factorization.

92980419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 92980419840 in words is "ninety-two billion, nine hundred eighty million, four hundred nineteen thousand, eight hundred forty".