92987381760 has 1536 divisors, whose sum is σ = 401548492800. Its totient is φ = 17836277760.

The previous prime is 92987381759. The next prime is 92987381803. The reversal of 92987381760 is 6718378929.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 92987381694 and 92987381703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2513172462 + ... + 2513172498.

It is an arithmetic number, because the mean of its divisors is an integer number (261424800).

Almost surely, 2^92987381760 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 92987381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200774246400).

92987381760 is an abundant number, since it is smaller than the sum of its proper divisors (308561111040).

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

92987381760 is a wasteful number, since it uses less digits than its factorization.

92987381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 92987381760 in words is "ninety-two billion, nine hundred eighty-seven million, three hundred eighty-one thousand, seven hundred sixty".