10477460952 has 192 divisors, whose sum is σ = 32977152000. Its totient is φ = 2943412992.

The previous prime is 10477460921. The next prime is 10477460993. The reversal of 10477460952 is 25906477401.

It is a junction number, because it is equal to n+sod(n) for n = 10477460898 and 10477460907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14293578 + ... + 14294310.

It is an arithmetic number, because the mean of its divisors is an integer number (171756000).

Almost surely, 2^10477460952 is an apocalyptic number.

10477460952 is a gapful number since it is divisible by the number (12) 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 10477460952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16488576000).

10477460952 is an abundant number, since it is smaller than the sum of its proper divisors (22499691048).

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

10477460952 is a wasteful number, since it uses less digits than its factorization.

10477460952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10477460952 in words is "ten billion, four hundred seventy-seven million, four hundred sixty thousand, nine hundred fifty-two".