10812279202560 has 864 divisors, whose sum is σ = 44654822735040. Its totient is φ = 2466956574720.

The previous prime is 10812279202513. The next prime is 10812279202561. The reversal of 10812279202560 is 6520297221801.

10812279202560 is a `hidden beast` number, since 1 + 0 + 8 + 12 + 2 + 79 + 2 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10812279202560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10812279202561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71013874 + ... + 71165966.

It is an arithmetic number, because the mean of its divisors is an integer number (51683822610).

Almost surely, 2^{10812279202560} is an apocalyptic number.

10812279202560 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 10812279202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327411367520).

10812279202560 is an abundant number, since it is smaller than the sum of its proper divisors (33842543532480).

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

10812279202560 is a wasteful number, since it uses less digits than its factorization.

10812279202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152162 (or 152131 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10812279202560 in words is "ten trillion, eight hundred twelve billion, two hundred seventy-nine million, two hundred two thousand, five hundred sixty".