59752489104 has 480 divisors, whose sum is σ = 218501848320. Its totient is φ = 15300679680.

The previous prime is 59752489099. The next prime is 59752489109. The reversal of 59752489104 is 40198425795.

It is a happy number.

59752489104 is a `hidden beast` number, since 5 + 9 + 7 + 52 + 489 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (59752489099) and next prime (59752489109).

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

It is not an unprimeable number, because it can be changed into a prime (59752489109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26709874 + ... + 26712110.

It is an arithmetic number, because the mean of its divisors is an integer number (455212184).

Almost surely, 2^59752489104 is an apocalyptic number.

59752489104 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 59752489104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109250924160).

59752489104 is an abundant number, since it is smaller than the sum of its proper divisors (158749359216).

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

59752489104 is a wasteful number, since it uses less digits than its factorization.

59752489104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 59752489104 in words is "fifty-nine billion, seven hundred fifty-two million, four hundred eighty-nine thousand, one hundred four".