753540148020 has 192 divisors, whose sum is σ = 2439133191936. Its totient is φ = 171788574720.

The previous prime is 753540148019. The next prime is 753540148061. The reversal of 753540148020 is 20841045357.

It is a self number, because there is not a number n which added to its sum of digits gives 753540148020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13851994 + ... + 13906286.

It is an arithmetic number, because the mean of its divisors is an integer number (12703818708).

Almost surely, 2^753540148020 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 753540148020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219566595968).

753540148020 is an abundant number, since it is smaller than the sum of its proper divisors (1685593043916).

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

753540148020 is a wasteful number, since it uses less digits than its factorization.

753540148020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55570 (or 55568 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 753540148020 in words is "seven hundred fifty-three billion, five hundred forty million, one hundred forty-eight thousand, twenty".