10020738356000 has 48 divisors (see below), whose sum is σ = 24620954150520. Its totient is φ = 4008295340800.

The previous prime is 10020738355921. The next prime is 10020738356029. The reversal of 10020738356000 is 65383702001.

It can be written as a sum of positive squares in 4 ways, for example, as 2666466916624 + 7354271439376 = 1632932^2 + 2711876^2 .

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 7 ways as a sum of consecutive naturals, for example, 1252588295 + ... + 1252596294.

Almost surely, 2^{10020738356000} is an apocalyptic number.

10020738356000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020738356000 is an abundant number, since it is smaller than the sum of its proper divisors (14600215794520).

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

10020738356000 is an equidigital number, since it uses as much as digits as its factorization.

10020738356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505184614 (or 2505184596 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 10020738356000 in words is "ten trillion, twenty billion, seven hundred thirty-eight million, three hundred fifty-six thousand".