75540148992 has 1440 divisors, whose sum is σ = 312839138304. Its totient is φ = 17663754240.

The previous prime is 75540148921. The next prime is 75540148997. The reversal of 75540148992 is 29984104557.

It is a happy number.

75540148992 is a `hidden beast` number, since 7 + 5 + 540 + 1 + 4 + 8 + 9 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75540148997) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3284354293 + ... + 3284354315.

Almost surely, 2^75540148992 is an apocalyptic number.

75540148992 is a gapful number since it is divisible by the number (72) 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 75540148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156419569152).

75540148992 is an abundant number, since it is smaller than the sum of its proper divisors (237298989312).

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

75540148992 is a wasteful number, since it uses less digits than its factorization.

75540148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

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

The spelling of 75540148992 in words is "seventy-five billion, five hundred forty million, one hundred forty-eight thousand, nine hundred ninety-two".