92729191100040 has 576 divisors, whose sum is σ = 343045909926720. Its totient is φ = 21692439014400.

The previous prime is 92729191100003. The next prime is 92729191100081. The reversal of 92729191100040 is 4000119192729.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155167410 + ... + 155763870.

It is an arithmetic number, because the mean of its divisors is an integer number (595565815845).

Almost surely, 2^{92729191100040} is an apocalyptic number.

92729191100040 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 92729191100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171522954963360).

92729191100040 is an abundant number, since it is smaller than the sum of its proper divisors (250316718826680).

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

92729191100040 is a wasteful number, since it uses less digits than its factorization.

92729191100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596626 (or 596608 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 92729191100040 in words is "ninety-two trillion, seven hundred twenty-nine billion, one hundred ninety-one million, one hundred thousand, forty".