10677016832652 has 48 divisors (see below), whose sum is σ = 27681339263200. Its totient is φ = 3558981888000.

The previous prime is 10677016832639. The next prime is 10677016832653. The reversal of 10677016832652 is 25623861077601.

10677016832652 is a `hidden beast` number, since 106 + 7 + 7 + 0 + 168 + 326 + 52 = 666.

It is a super-2 number, since 2×10677016832652² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10677016832653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24734124 + ... + 25162092.

Almost surely, 2^{10677016832652} is an apocalyptic number.

10677016832652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10677016832652 is an abundant number, since it is smaller than the sum of its proper divisors (17004322430548).

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

10677016832652 is a wasteful number, since it uses less digits than its factorization.

10677016832652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658983 (or 658975 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 10677016832652 in words is "ten trillion, six hundred seventy-seven billion, sixteen million, eight hundred thirty-two thousand, six hundred fifty-two".