10477364880 has 160 divisors (see below), whose sum is σ = 33090382080. Its totient is φ = 2741667840.

The previous prime is 10477364831. The next prime is 10477364897. The reversal of 10477364880 is 8846377401.

It is a Cunningham number, because it is equal to 102359²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12282534 + ... + 12283386.

It is an arithmetic number, because the mean of its divisors is an integer number (206814888).

Almost surely, 2^10477364880 is an apocalyptic number.

10477364880 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 10477364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16545191040).

10477364880 is an abundant number, since it is smaller than the sum of its proper divisors (22613017200).

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

10477364880 is a wasteful number, since it uses less digits than its factorization.

10477364880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

It can be divided in two parts, 104773 and 64880, that added together give a triangular number (169653 = T₅₈₂).

The spelling of 10477364880 in words is "ten billion, four hundred seventy-seven million, three hundred sixty-four thousand, eight hundred eighty".