75549498960 has 160 divisors (see below), whose sum is σ = 253630016640. Its totient is φ = 18492770304.

The previous prime is 75549498949. The next prime is 75549498967. The reversal of 75549498960 is 6989494557.

It is a junction number, because it is equal to n+sod(n) for n = 75549498891 and 75549498900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75549498967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490842 + ... + 626118.

It is an arithmetic number, because the mean of its divisors is an integer number (1585187604).

Almost surely, 2^75549498960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75549498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126815008320).

75549498960 is an abundant number, since it is smaller than the sum of its proper divisors (178080517680).

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

75549498960 is a wasteful number, since it uses less digits than its factorization.

75549498960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135485 (or 135479 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 75549498960 in words is "seventy-five billion, five hundred forty-nine million, four hundred ninety-eight thousand, nine hundred sixty".