10507286088 has 128 divisors (see below), whose sum is σ = 31500201600. Its totient is φ = 3226003200.

The previous prime is 10507286087. The next prime is 10507286107. The reversal of 10507286088 is 88068270501.

10507286088 is a `hidden beast` number, since 1 + 0 + 507 + 2 + 8 + 60 + 88 = 666.

It is a super-2 number, since 2×10507286088² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10507286087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374918 + ... + 1382538.

It is an arithmetic number, because the mean of its divisors is an integer number (246095325).

Almost surely, 2^10507286088 is an apocalyptic number.

10507286088 is a gapful number since it is divisible by the number (18) 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 10507286088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750100800).

10507286088 is an abundant number, since it is smaller than the sum of its proper divisors (20992915512).

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

10507286088 is a wasteful number, since it uses less digits than its factorization.

10507286088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8140 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10507286088 in words is "ten billion, five hundred seven million, two hundred eighty-six thousand, eighty-eight".