10477651860 has 576 divisors, whose sum is σ = 37852012800. Its totient is φ = 2400233472.

The previous prime is 10477651843. The next prime is 10477651937. The reversal of 10477651860 is 6815677401.

10477651860 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 76 + 518 + 60 = 666.

It is a super-2 number, since 2×10477651860² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97921927 + ... + 97922033.

It is an arithmetic number, because the mean of its divisors is an integer number (65715300).

Almost surely, 2^10477651860 is an apocalyptic number.

10477651860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10477651860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926006400).

10477651860 is an abundant number, since it is smaller than the sum of its proper divisors (27374360940).

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

10477651860 is a wasteful number, since it uses less digits than its factorization.

10477651860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10477651860 in words is "ten billion, four hundred seventy-seven million, six hundred fifty-one thousand, eight hundred sixty".