59794434000 has 960 divisors, whose sum is σ = 254932254720. Its totient is φ = 12765772800.

The previous prime is 59794433947. The next prime is 59794434043. The reversal of 59794434000 is 43449795.

It is a happy number.

59794434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 136205781 + ... + 136206219.

It is an arithmetic number, because the mean of its divisors is an integer number (265554432).

Almost surely, 2^59794434000 is an apocalyptic number.

59794434000 is a gapful number since it is divisible by the number (50) 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 59794434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127466127360).

59794434000 is an abundant number, since it is smaller than the sum of its proper divisors (195137820720).

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

59794434000 is a wasteful number, since it uses less digits than its factorization.

59794434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 59794434000 in words is "fifty-nine billion, seven hundred ninety-four million, four hundred thirty-four thousand".