755020042560 has 896 divisors, whose sum is σ = 3253707325440. Its totient is φ = 160883048448.

The previous prime is 755020042531. The next prime is 755020042627. The reversal of 755020042560 is 65240020557.

755020042560 is a `hidden beast` number, since 7 + 5 + 50 + 2 + 0 + 0 + 42 + 560 = 666.

It is a super-2 number, since 2×755020042560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110009689 + ... + 110016551.

Almost surely, 2^755020042560 is an apocalyptic number.

755020042560 is a gapful number since it is divisible by the number (70) 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 755020042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626853662720).

755020042560 is an abundant number, since it is smaller than the sum of its proper divisors (2498687282880).

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

755020042560 is a wasteful number, since it uses less digits than its factorization.

755020042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 755020042560 in words is "seven hundred fifty-five billion, twenty million, forty-two thousand, five hundred sixty".