29860992000 has 1188 divisors, whose sum is σ = 130853631636. Its totient is φ = 6528614400.

The previous prime is 29860991987. The next prime is 29860992019. The reversal of 29860992000 is 29906892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 955551744 + 28905440256 = 30912^2 + 170016^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1298303989 + ... + 1298304011.

Almost surely, 2^29860992000 is an apocalyptic number.

29860992000 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 29860992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65426815818).

29860992000 is an abundant number, since it is smaller than the sum of its proper divisors (100992639636).

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

29860992000 is a wasteful number, since it uses less digits than its factorization.

29860992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

Multiplying 29860992000 by its sum of digits (45), we get a square (1343744640000 = 1159200²).

29860992000 divided by its sum of digits (45) gives a square (663577600 = 25760²).

The spelling of 29860992000 in words is "twenty-nine billion, eight hundred sixty million, nine hundred ninety-two thousand".