75525470501040 has 480 divisors, whose sum is σ = 290731267008000. Its totient is φ = 17211938365440.

The previous prime is 75525470501017. The next prime is 75525470501077. The reversal of 75525470501040 is 4010507452557.

75525470501040 is a `hidden beast` number, since 7 + 5 + 5 + 2 + 547 + 0 + 50 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11711187736 + ... + 11711194184.

It is an arithmetic number, because the mean of its divisors is an integer number (605690139600).

Almost surely, 2^{75525470501040} is an apocalyptic number.

75525470501040 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 75525470501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145365633504000).

75525470501040 is an abundant number, since it is smaller than the sum of its proper divisors (215205796506960).

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

75525470501040 is a wasteful number, since it uses less digits than its factorization.

75525470501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12985 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 980000, while the sum is 45.

Adding to 75525470501040 its reverse (4010507452557), we get a palindrome (79535977953597).

The spelling of 75525470501040 in words is "seventy-five trillion, five hundred twenty-five billion, four hundred seventy million, five hundred one thousand, forty".