75450869510400 has 648 divisors, whose sum is σ = 273309401106560. Its totient is φ = 19855300608000.

The previous prime is 75450869510399. The next prime is 75450869510461. The reversal of 75450869510400 is 401596805457.

It is a happy number.

75450869510400 is a `hidden beast` number, since 7 + 5 + 4 + 5 + 0 + 86 + 9 + 510 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13519235610 + ... + 13519241190.

Almost surely, 2^{75450869510400} 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 75450869510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136654700553280).

75450869510400 is an abundant number, since it is smaller than the sum of its proper divisors (197858531596160).

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

75450869510400 is a wasteful number, since it uses less digits than its factorization.

75450869510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663 (or 8641 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 75450869510400 in words is "seventy-five trillion, four hundred fifty billion, eight hundred sixty-nine million, five hundred ten thousand, four hundred".