59875989264 has 560 divisors, whose sum is σ = 225416822400. Its totient is φ = 14955300864.

The previous prime is 59875989259. The next prime is 59875989269. The reversal of 59875989264 is 46298957895.

59875989264 is a `hidden beast` number, since 5 + 9 + 8 + 7 + 598 + 9 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (59875989259) and next prime (59875989269).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 59875989192 and 59875989201.

It is not an unprimeable number, because it can be changed into a prime (59875989269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20165572 + ... + 20168540.

It is an arithmetic number, because the mean of its divisors is an integer number (402530040).

Almost surely, 2^59875989264 is an apocalyptic number.

59875989264 is a gapful number since it is divisible by the number (54) 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 59875989264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112708411200).

59875989264 is an abundant number, since it is smaller than the sum of its proper divisors (165540833136).

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

59875989264 is a wasteful number, since it uses less digits than its factorization.

59875989264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3013 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 59875989264 in words is "fifty-nine billion, eight hundred seventy-five million, nine hundred eighty-nine thousand, two hundred sixty-four".