29882165040 has 480 divisors, whose sum is σ = 124298044416. Its totient is φ = 6264760320.

The previous prime is 29882165011. The next prime is 29882165057. The reversal of 29882165040 is 4056128892.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10940475 + ... + 10943205.

Almost surely, 2^29882165040 is an apocalyptic number.

29882165040 is a gapful number since it is divisible by the number (20) 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 29882165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62149022208).

29882165040 is an abundant number, since it is smaller than the sum of its proper divisors (94415879376).

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

29882165040 is a wasteful number, since it uses less digits than its factorization.

29882165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 29882165040 in words is "twenty-nine billion, eight hundred eighty-two million, one hundred sixty-five thousand, forty".