10476710658890 has 48 divisors (see below), whose sum is σ = 21984535304424. Its totient is φ = 3584223216000.

The previous prime is 10476710658871. The next prime is 10476710658913. The reversal of 10476710658890 is 9885601767401.

It can be written as a sum of positive squares in 4 ways, for example, as 7757935084249 + 2718775574641 = 2785307^2 + 1648871^2 .

It is a super-2 number, since 2×10476710658890² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22963961 + ... + 23415740.

Almost surely, 2^{10476710658890} is an apocalyptic number.

10476710658890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10476710658890 is an abundant number, since it is smaller than the sum of its proper divisors (11507824645534).

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

10476710658890 is a wasteful number, since it uses less digits than its factorization.

10476710658890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46380183 (or 46380176 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 62.

The spelling of 10476710658890 in words is "ten trillion, four hundred seventy-six billion, seven hundred ten million, six hundred fifty-eight thousand, eight hundred ninety".