10790019072 has 560 divisors, whose sum is σ = 38822205312. Its totient is φ = 2919628800.

The previous prime is 10790019059. The next prime is 10790019083. The reversal of 10790019072 is 27091009701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106831822 + ... + 106831922.

Almost surely, 2^10790019072 is an apocalyptic number.

10790019072 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 10790019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411102656).

10790019072 is an abundant number, since it is smaller than the sum of its proper divisors (28032186240).

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

10790019072 is an equidigital number, since it uses as much as digits as its factorization.

10790019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 10790019072 in words is "ten billion, seven hundred ninety million, nineteen thousand, seventy-two".