10527768016290 has 48 divisors (see below), whose sum is σ = 31282510678848. Its totient is φ = 2406346975008.

The previous prime is 10527768016243. The next prime is 10527768016331. The reversal of 10527768016290 is 9261086772501.

10527768016290 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 7 + 7 + 6 + 8 + 0 + 1 + 629 + 0 = 666.

It is a super-2 number, since 2×10527768016290² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8355370812 + ... + 8355372071.

It is an arithmetic number, because the mean of its divisors is an integer number (651718972476).

Almost surely, 2^{10527768016290} is an apocalyptic number.

10527768016290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10527768016290 is an abundant number, since it is smaller than the sum of its proper divisors (20754742662558).

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

10527768016290 is a wasteful number, since it uses less digits than its factorization.

10527768016290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16710742903 (or 16710742900 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10527768016290 in words is "ten trillion, five hundred twenty-seven billion, seven hundred sixty-eight million, sixteen thousand, two hundred ninety".