61368255526500 has 144 divisors (see below), whose sum is σ = 208488420307440. Its totient is φ = 15106032115200.

The previous prime is 61368255526483. The next prime is 61368255526517. The reversal of 61368255526500 is 562555286316.

61368255526500 is a `hidden beast` number, since 6 + 1 + 3 + 6 + 8 + 25 + 552 + 65 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61368255526483) and next prime (61368255526517).

It can be written as a sum of positive squares in 8 ways, for example, as 17494694867556 + 43873560658944 = 4182666^2 + 6623712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524456505 + ... + 524573504.

It is an arithmetic number, because the mean of its divisors is an integer number (1447836252135).

Almost surely, 2^{61368255526500} is an apocalyptic number.

61368255526500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61368255526500 is an abundant number, since it is smaller than the sum of its proper divisors (147120164780940).

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

61368255526500 is a wasteful number, since it uses less digits than its factorization.

61368255526500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049030047 (or 1049030032 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 61368255526500 in words is "sixty-one trillion, three hundred sixty-eight billion, two hundred fifty-five million, five hundred twenty-six thousand, five hundred".