75679810557120 has 1792 divisors, whose sum is σ = 347466616012800. Its totient is φ = 15047036928000.

The previous prime is 75679810557119. The next prime is 75679810557133. The reversal of 75679810557120 is 2175501897657.

It is a happy number.

75679810557120 is a `hidden beast` number, since 7 + 5 + 6 + 79 + 8 + 1 + 0 + 557 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1835486905 + ... + 1835528135.

Almost surely, 2^{75679810557120} is an apocalyptic number.

75679810557120 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 75679810557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173733308006400).

75679810557120 is an abundant number, since it is smaller than the sum of its proper divisors (271786805455680).

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

75679810557120 is a wasteful number, since it uses less digits than its factorization.

75679810557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41395 (or 41379 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 63.

The spelling of 75679810557120 in words is "seventy-five trillion, six hundred seventy-nine billion, eight hundred ten million, five hundred fifty-seven thousand, one hundred twenty".