29250720000 has 900 divisors, whose sum is σ = 113771265916. Its totient is φ = 7464960000.

The previous prime is 29250719999. The next prime is 29250720089. The reversal of 29250720000 is 2705292.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 24231280896 + 5019439104 = 155664^2 + 70848^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 479519970 + ... + 479520030.

Almost surely, 2^29250720000 is an apocalyptic number.

29250720000 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 29250720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56885632958).

29250720000 is an abundant number, since it is smaller than the sum of its proper divisors (84520545916).

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

29250720000 is an frugal number, since it uses more digits than its factorization.

29250720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 29250720000 in words is "twenty-nine billion, two hundred fifty million, seven hundred twenty thousand".