10322993088072 has 480 divisors, whose sum is σ = 35437674333600. Its totient is φ = 2791601293824.

The previous prime is 10322993088043. The next prime is 10322993088077. The reversal of 10322993088072 is 27088039922301.

10322993088072 is a `hidden beast` number, since 1 + 0 + 322 + 9 + 9 + 308 + 8 + 0 + 7 + 2 = 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 (10322993088077) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 701616588 + ... + 701631300.

It is an arithmetic number, because the mean of its divisors is an integer number (73828488195).

Almost surely, 2^{10322993088072} is an apocalyptic number.

10322993088072 is a gapful number since it is divisible by the number (12) 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 10322993088072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718837166800).

10322993088072 is an abundant number, since it is smaller than the sum of its proper divisors (25114681245528).

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

10322993088072 is a wasteful number, since it uses less digits than its factorization.

10322993088072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15927 (or 15907 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10322993088072 in words is "ten trillion, three hundred twenty-two billion, nine hundred ninety-three million, eighty-eight thousand, seventy-two".