10077757250 has 96 divisors (see below), whose sum is σ = 21957442416. Its totient is φ = 3448896000.

The previous prime is 10077757247. The next prime is 10077757271. The reversal of 10077757250 is 5275777001.

10077757250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 713904961 + 9363852289 = 26719^2 + 96767^2 .

It is a super-2 number, since 2×10077757250² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10077757198 and 10077757207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504452 + ... + 524048.

Almost surely, 2^10077757250 is an apocalyptic number.

10077757250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10077757250 is an abundant number, since it is smaller than the sum of its proper divisors (11879685166).

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

10077757250 is a wasteful number, since it uses less digits than its factorization.

10077757250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653 (or 19632 counting only the distinct ones).

The product of its (nonzero) digits is 120050, while the sum is 41.

The spelling of 10077757250 in words is "ten billion, seventy-seven million, seven hundred fifty-seven thousand, two hundred fifty".