29928766782992 has 40 divisors (see below), whose sum is σ = 72295462621632. Its totient is φ = 11660558486400.

The previous prime is 29928766782949. The next prime is 29928766783001.

It is a happy number.

29928766782992 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12146413859 + ... + 12146416322.

Almost surely, 2^{29928766782992} is an apocalyptic number.

29928766782992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29928766782992 is an abundant number, since it is smaller than the sum of its proper divisors (42366695838640).

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

29928766782992 is a wasteful number, since it uses less digits than its factorization.

29928766782992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24292830207 (or 24292830201 counting only the distinct ones).

The product of its digits is 11851370496, while the sum is 86.

The spelling of 29928766782992 in words is "twenty-nine trillion, nine hundred twenty-eight billion, seven hundred sixty-six million, seven hundred eighty-two thousand, nine hundred ninety-two".