29859840000 has 595 divisors, whose sum is σ = 111886530943. Its totient is φ = 7962624000.

The previous prime is 29859839993. The next prime is 29859840037. The reversal of 29859840000 is 4895892.

The square root of 29859840000 is 172800.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (5!)² ⋅ (2!)².

It can be written as a sum of positive squares in 2 ways, for example, as 2341011456 + 27518828544 = 48384^2 + 165888^2 .

It is a super-2 number, since 2×29859840000² (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 5971967998 + ... + 5971968002.

Almost surely, 2^29859840000 is an apocalyptic number.

29859840000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29859840000 is the 172800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29859840000

29859840000 is an abundant number, since it is smaller than the sum of its proper divisors (82026690943).

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

29859840000 is an frugal number, since it uses more digits than its factorization.

29859840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 29859840000 in words is "twenty-nine billion, eight hundred fifty-nine million, eight hundred forty thousand".