10259262647820 has 192 divisors, whose sum is σ = 32786814412800. Its totient is φ = 2661337555200.

The previous prime is 10259262647807. The next prime is 10259262647839. The reversal of 10259262647820 is 2874626295201.

10259262647820 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 9 + 2 + 626 + 4 + 7 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106865001 + ... + 106960959.

It is an arithmetic number, because the mean of its divisors is an integer number (170764658400).

Almost surely, 2^{10259262647820} is an apocalyptic number.

10259262647820 is a gapful number since it is divisible by the number (10) 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 10259262647820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393407206400).

10259262647820 is an abundant number, since it is smaller than the sum of its proper divisors (22527551764980).

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

10259262647820 is a wasteful number, since it uses less digits than its factorization.

10259262647820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101365 (or 101357 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10259262647820 in words is "ten trillion, two hundred fifty-nine billion, two hundred sixty-two million, six hundred forty-seven thousand, eight hundred twenty".