10057207617820 has 96 divisors (see below), whose sum is σ = 23090306855616. Its totient is φ = 3649212672000.

The previous prime is 10057207617773. The next prime is 10057207617823. The reversal of 10057207617820 is 2871670275001.

It is a super-2 number, since 2×10057207617820² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057207617823) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 211720312 + ... + 211767808.

It is an arithmetic number, because the mean of its divisors is an integer number (240524029746).

Almost surely, 2^{10057207617820} is an apocalyptic number.

10057207617820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10057207617820 is an abundant number, since it is smaller than the sum of its proper divisors (13033099237796).

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

10057207617820 is a wasteful number, since it uses less digits than its factorization.

10057207617820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49591 (or 49589 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 10057207617820 in words is "ten trillion, fifty-seven billion, two hundred seven million, six hundred seventeen thousand, eight hundred twenty".