10677487752 has 24 divisors (see below), whose sum is σ = 28918196190. Its totient is φ = 3559162560.

The previous prime is 10677487739. The next prime is 10677487781. The reversal of 10677487752 is 25778477601.

10677487752 is a `hidden beast` number, since 106 + 7 + 7 + 487 + 7 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10439526276 + 237961476 = 102174^2 + 15426^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10677487752² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74149149 + ... + 74149292.

Almost surely, 2^10677487752 is an apocalyptic number.

10677487752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10677487752 is an abundant number, since it is smaller than the sum of its proper divisors (18240708438).

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

10677487752 is a wasteful number, since it uses less digits than its factorization.

10677487752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148298453 (or 148298446 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 10677487752 in words is "ten billion, six hundred seventy-seven million, four hundred eighty-seven thousand, seven hundred fifty-two".