10077263232 has 128 divisors (see below), whose sum is σ = 27447759360. Its totient is φ = 3274340352.

The previous prime is 10077263227. The next prime is 10077263233. The reversal of 10077263232 is 23236277001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10077263193 and 10077263202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10077263233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5106598 + ... + 5108570.

It is an arithmetic number, because the mean of its divisors is an integer number (214435620).

Almost surely, 2^10077263232 is an apocalyptic number.

10077263232 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 10077263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723879680).

10077263232 is an abundant number, since it is smaller than the sum of its proper divisors (17370496128).

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

10077263232 is a wasteful number, since it uses less digits than its factorization.

10077263232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 10077263232 in words is "ten billion, seventy-seven million, two hundred sixty-three thousand, two hundred thirty-two".