830972945088 has 560 divisors, whose sum is σ = 2922269366016. Its totient is φ = 230162135040.

The previous prime is 830972945083. The next prime is 830972945107. The reversal of 830972945088 is 880549279038.

830972945088 is a `hidden beast` number, since 8 + 30 + 9 + 7 + 2 + 94 + 508 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (830972945081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76349695 + ... + 76360577.

Almost surely, 2^830972945088 is an apocalyptic number.

830972945088 is a gapful number since it is divisible by the number (88) 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 830972945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461134683008).

830972945088 is an abundant number, since it is smaller than the sum of its proper divisors (2091296420928).

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

830972945088 is a wasteful number, since it uses less digits than its factorization.

830972945088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 830972945088 in words is "eight hundred thirty billion, nine hundred seventy-two million, nine hundred forty-five thousand, eighty-eight".