10612861200 has 180 divisors, whose sum is σ = 36879336000. Its totient is φ = 2826274560.

The previous prime is 10612861183. The next prime is 10612861211. The reversal of 10612861200 is 216821601.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10612861200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3537301 + ... + 3540299.

It is an arithmetic number, because the mean of its divisors is an integer number (204885200).

Almost surely, 2^10612861200 is an apocalyptic number.

10612861200 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 10612861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18439668000).

10612861200 is an abundant number, since it is smaller than the sum of its proper divisors (26266474800).

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

10612861200 is a wasteful number, since it uses less digits than its factorization.

10612861200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10612861200 in words is "ten billion, six hundred twelve million, eight hundred sixty-one thousand, two hundred".