10420830157777 has 24 divisors (see below), whose sum is σ = 12140776055016. Its totient is φ = 8860765152768.

The previous prime is 10420830157763. The next prime is 10420830157807. The reversal of 10420830157777 is 77775103802401.

It can be written as a sum of positive squares in 4 ways, for example, as 175447050496 + 10245383107281 = 418864^2 + 3200841^2 .

It is not a de Polignac number, because 10420830157777 - 2⁷ = 10420830157649 is a prime.

It is a super-2 number, since 2×10420830157777² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10420830157277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10184758 + ... + 11161135.

It is an arithmetic number, because the mean of its divisors is an integer number (505865668959).

Almost surely, 2^{10420830157777} is an apocalyptic number.

10420830157777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10420830157777 is a deficient number, since it is larger than the sum of its proper divisors (1719945897239).

10420830157777 is a wasteful number, since it uses less digits than its factorization.

10420830157777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346017 (or 21345970 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 52.

The spelling of 10420830157777 in words is "ten trillion, four hundred twenty billion, eight hundred thirty million, one hundred fifty-seven thousand, seven hundred seventy-seven".