92006691058152 has 768 divisors, whose sum is σ = 291938302656000. Its totient is φ = 26956976836608.

The previous prime is 92006691058151. The next prime is 92006691058169. The reversal of 92006691058152 is 25185019660029.

92006691058152 is a `hidden beast` number, since 9 + 2 + 0 + 0 + 6 + 6 + 9 + 1 + 0 + 581 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (92006691058151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21756131974 + ... + 21756136202.

It is an arithmetic number, because the mean of its divisors is an integer number (380127998250).

Almost surely, 2^{92006691058152} 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 92006691058152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145969151328000).

92006691058152 is an abundant number, since it is smaller than the sum of its proper divisors (199931611597848).

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

92006691058152 is a wasteful number, since it uses less digits than its factorization.

92006691058152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 92006691058152 in words is "ninety-two trillion, six billion, six hundred ninety-one million, fifty-eight thousand, one hundred fifty-two".