10712140477632 has 1176 divisors, whose sum is σ = 35995020443648. Its totient is φ = 3158249149440.

The previous prime is 10712140477589. The next prime is 10712140477637. The reversal of 10712140477632 is 23677404121701.

10712140477632 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 2 + 1 + 4 + 0 + 4 + 7 + 7 + 632 = 666.

It is a super-2 number, since 2×10712140477632² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10712140477637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 48036504273 + ... + 48036504495.

Almost surely, 2^{10712140477632} is an apocalyptic number.

10712140477632 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 10712140477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997510221824).

10712140477632 is an abundant number, since it is smaller than the sum of its proper divisors (25282879966016).

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

10712140477632 is a wasteful number, since it uses less digits than its factorization.

10712140477632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10712140477632 in words is "ten trillion, seven hundred twelve billion, one hundred forty million, four hundred seventy-seven thousand, six hundred thirty-two".