10207778112 has 280 divisors, whose sum is σ = 36618208704. Its totient is φ = 2744782848.

The previous prime is 10207778093. The next prime is 10207778123. The reversal of 10207778112 is 21187770201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 608623 + ... + 625169.

Almost surely, 2^10207778112 is an apocalyptic number.

10207778112 is a gapful number since it is divisible by the number (12) 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 10207778112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309104352).

10207778112 is an abundant number, since it is smaller than the sum of its proper divisors (26410430592).

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

10207778112 is a wasteful number, since it uses less digits than its factorization.

10207778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16595 (or 16576 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 36.

The spelling of 10207778112 in words is "ten billion, two hundred seven million, seven hundred seventy-eight thousand, one hundred twelve".