10772146990080 has 2816 divisors, whose sum is σ = 47715251650560. Its totient is φ = 2251384160256.

The previous prime is 10772146990069. The next prime is 10772146990109. The reversal of 10772146990080 is 8009964127701.

10772146990080 is a `hidden beast` number, since 1 + 0 + 77 + 21 + 469 + 90 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10772146989999 and 10772146990026.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 84820054977 + ... + 84820055103.

Almost surely, 2^{10772146990080} is an apocalyptic number.

10772146990080 is a gapful number since it is divisible by the number (10) 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 10772146990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23857625825280).

10772146990080 is an abundant number, since it is smaller than the sum of its proper divisors (36943104660480).

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

10772146990080 is a wasteful number, since it uses less digits than its factorization.

10772146990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 10772146990080 in words is "ten trillion, seven hundred seventy-two billion, one hundred forty-six million, nine hundred ninety thousand, eighty".