92942748138240 has 4320 divisors, whose sum is σ = 476469606856320. Its totient is φ = 16775019233280.

The previous prime is 92942748138221. The next prime is 92942748138269. The reversal of 92942748138240 is 4283184724929.

It is a happy number.

92942748138240 is a `hidden beast` number, since 9 + 2 + 94 + 27 + 481 + 3 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19407545766 + ... + 19407550554.

It is an arithmetic number, because the mean of its divisors is an integer number (110293890476).

Almost surely, 2^{92942748138240} is an apocalyptic number.

92942748138240 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 92942748138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238234803428160).

92942748138240 is an abundant number, since it is smaller than the sum of its proper divisors (383526858718080).

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

92942748138240 is a wasteful number, since it uses less digits than its factorization.

92942748138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 92942748138240 in words is "ninety-two trillion, nine hundred forty-two billion, seven hundred forty-eight million, one hundred thirty-eight thousand, two hundred forty".