10420555680 has 144 divisors (see below), whose sum is σ = 36521418024. Its totient is φ = 2703697920.

The previous prime is 10420555669. The next prime is 10420555687. The reversal of 10420555680 is 8655502401.

10420555680 is a `hidden beast` number, since 1 + 0 + 4 + 20 + 5 + 556 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10406448144 + 14107536 = 102012^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10420555687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44511 + ... + 151070.

Almost surely, 2^10420555680 is an apocalyptic number.

10420555680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420555680 is an abundant number, since it is smaller than the sum of its proper divisors (26100862344).

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

10420555680 is a wasteful number, since it uses less digits than its factorization.

10420555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195639 (or 195628 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10420555680 in words is "ten billion, four hundred twenty million, five hundred fifty-five thousand, six hundred eighty".