75515431819968 has 1680 divisors, whose sum is σ = 281503913337504. Its totient is φ = 19883548016640.

The previous prime is 75515431819931. The next prime is 75515431819969. The reversal of 75515431819968 is 86991813451557.

It is a happy number.

75515431819968 is a `hidden beast` number, since 7 + 5 + 5 + 1 + 543 + 1 + 8 + 19 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 75515431819896 and 75515431819905.

It is not an unprimeable number, because it can be changed into a prime (75515431819969) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 74546329030 + ... + 74546330042.

Almost surely, 2^{75515431819968} 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 75515431819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140751956668752).

75515431819968 is an abundant number, since it is smaller than the sum of its proper divisors (205988481517536).

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

75515431819968 is a wasteful number, since it uses less digits than its factorization.

75515431819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1386 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 72.

The spelling of 75515431819968 in words is "seventy-five trillion, five hundred fifteen billion, four hundred thirty-one million, eight hundred nineteen thousand, nine hundred sixty-eight".