59229161472 has 384 divisors, whose sum is σ = 184923648000. Its totient is φ = 16694968320.

The previous prime is 59229161461. The next prime is 59229161473. The reversal of 59229161472 is 27416192295.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (59229161473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47043979 + ... + 47045237.

It is an arithmetic number, because the mean of its divisors is an integer number (481572000).

Almost surely, 2^59229161472 is an apocalyptic number.

59229161472 is a gapful number since it is divisible by the number (52) 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 59229161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824000).

59229161472 is an abundant number, since it is smaller than the sum of its proper divisors (125694486528).

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

59229161472 is a wasteful number, since it uses less digits than its factorization.

59229161472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1327 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 59229161472 in words is "fifty-nine billion, two hundred twenty-nine million, one hundred sixty-one thousand, four hundred seventy-two".