29987278992 has 180 divisors, whose sum is σ = 92386881132. Its totient is φ = 9073152000.

The previous prime is 29987278973. The next prime is 29987279033.

29987278992 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9361723536 + 20625555456 = 96756^2 + 143616^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 29987278992.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20925508 + ... + 20926940.

Almost surely, 2^29987278992 is an apocalyptic number.

29987278992 is a gapful number since it is divisible by the number (22) 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 29987278992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193440566).

29987278992 is an abundant number, since it is smaller than the sum of its proper divisors (62399602140).

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

29987278992 is a wasteful number, since it uses less digits than its factorization.

29987278992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2650 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 72.

The spelling of 29987278992 in words is "twenty-nine billion, nine hundred eighty-seven million, two hundred seventy-eight thousand, nine hundred ninety-two".