10612559477520 has 2880 divisors, whose sum is σ = 52126013721600. Its totient is φ = 1914643906560.

The previous prime is 10612559477483. The next prime is 10612559477543. The reversal of 10612559477520 is 2577495521601.

10612559477520 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 25 + 5 + 94 + 7 + 7 + 520 = 666.

It is a super-2 number, since 2×10612559477520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6603956557 + ... + 6603958163.

It is an arithmetic number, because the mean of its divisors is an integer number (18099310320).

Almost surely, 2^{10612559477520} is an apocalyptic number.

10612559477520 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 10612559477520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26063006860800).

10612559477520 is an abundant number, since it is smaller than the sum of its proper divisors (41513454244080).

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

10612559477520 is a wasteful number, since it uses less digits than its factorization.

10612559477520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 10612559477520 in words is "ten trillion, six hundred twelve billion, five hundred fifty-nine million, four hundred seventy-seven thousand, five hundred twenty".