10772051120640 has 1120 divisors, whose sum is σ = 41189449885056. Its totient is φ = 2691207659520.

The previous prime is 10772051120561. The next prime is 10772051120641. The reversal of 10772051120640 is 4602115027701.

10772051120640 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 2 + 0 + 5 + 1 + 1 + 2 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10772051120595 and 10772051120604.

It is not an unprimeable number, because it can be changed into a prime (10772051120641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8343958395 + ... + 8343959685.

Almost surely, 2^{10772051120640} is an apocalyptic number.

10772051120640 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 10772051120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20594724942528).

10772051120640 is an abundant number, since it is smaller than the sum of its proper divisors (30417398764416).

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

10772051120640 is an equidigital number, since it uses as much as digits as its factorization.

10772051120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10772051120640 in words is "ten trillion, seven hundred seventy-two billion, fifty-one million, one hundred twenty thousand, six hundred forty".