29020140864 has 336 divisors, whose sum is σ = 101350267200. Its totient is φ = 8116899840.

The previous prime is 29020140859. The next prime is 29020140889. The reversal of 29020140864 is 46804102092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2217412 + ... + 2230460.

It is an arithmetic number, because the mean of its divisors is an integer number (301637700).

Almost surely, 2^29020140864 is an apocalyptic number.

29020140864 is a gapful number since it is divisible by the number (24) 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 29020140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50675133600).

29020140864 is an abundant number, since it is smaller than the sum of its proper divisors (72330126336).

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

29020140864 is a wasteful number, since it uses less digits than its factorization.

29020140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13100 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 29020140864 in words is "twenty-nine billion, twenty million, one hundred forty thousand, eight hundred sixty-four".