10612225674600 has 384 divisors, whose sum is σ = 37810276416000. Its totient is φ = 2435142528000.

The previous prime is 10612225674577. The next prime is 10612225674613. The reversal of 10612225674600 is 647652221601.

10612225674600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10612225674600² (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 95 ways as a sum of consecutive naturals, for example, 146807266 + ... + 146879534.

It is an arithmetic number, because the mean of its divisors is an integer number (98464261500).

Almost surely, 2^{10612225674600} is an apocalyptic number.

10612225674600 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 10612225674600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905138208000).

10612225674600 is an abundant number, since it is smaller than the sum of its proper divisors (27198050741400).

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

10612225674600 is a wasteful number, since it uses less digits than its factorization.

10612225674600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73489 (or 73480 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 10612225674600 in words is "ten trillion, six hundred twelve billion, two hundred twenty-five million, six hundred seventy-four thousand, six hundred".