29780593920 has 1728 divisors, whose sum is σ = 143541780480. Its totient is φ = 5673369600.

The previous prime is 29780593891. The next prime is 29780593933. The reversal of 29780593920 is 2939508792.

29780593920 is a `hidden beast` number, since 29 + 7 + 8 + 0 + 593 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 960664305 + ... + 960664335.

It is an arithmetic number, because the mean of its divisors is an integer number (83068160).

Almost surely, 2^29780593920 is an apocalyptic number.

29780593920 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 29780593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71770890240).

29780593920 is an abundant number, since it is smaller than the sum of its proper divisors (113761186560).

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

29780593920 is a wasteful number, since it uses less digits than its factorization.

29780593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 29780593920 in words is "twenty-nine billion, seven hundred eighty million, five hundred ninety-three thousand, nine hundred twenty".