10737345072500 has 30 divisors (see below), whose sum is σ = 23480426210010. Its totient is φ = 4294938028000.

The previous prime is 10737345072481. The next prime is 10737345072541. The reversal of 10737345072500 is 527054373701.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 7233238123024 + 3504106949476 = 2689468^2 + 1871926^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2147466515 + ... + 2147471514.

It is an arithmetic number, because the mean of its divisors is an integer number (782680873667).

Almost surely, 2^{10737345072500} is an apocalyptic number.

10737345072500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10737345072500 is an abundant number, since it is smaller than the sum of its proper divisors (12743081137510).

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

10737345072500 is an equidigital number, since it uses as much as digits as its factorization.

10737345072500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4294938053 (or 4294938036 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 44.

The spelling of 10737345072500 in words is "ten trillion, seven hundred thirty-seven billion, three hundred forty-five million, seventy-two thousand, five hundred".