92495370240 has 1152 divisors, whose sum is σ = 405676252800. Its totient is φ = 18968739840.

The previous prime is 92495370211. The next prime is 92495370287. The reversal of 92495370240 is 4207359429.

92495370240 is a `hidden beast` number, since 92 + 4 + 9 + 537 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 343848826 + ... + 343849094.

It is an arithmetic number, because the mean of its divisors is an integer number (352149525).

Almost surely, 2^92495370240 is an apocalyptic number.

92495370240 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 92495370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202838126400).

92495370240 is an abundant number, since it is smaller than the sum of its proper divisors (313180882560).

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

92495370240 is a wasteful number, since it uses less digits than its factorization.

92495370240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 92495370240 in words is "ninety-two billion, four hundred ninety-five million, three hundred seventy thousand, two hundred forty".