75850980581376 has 4032 divisors, whose sum is σ = 324587985661440. Its totient is φ = 16992876625920.

The previous prime is 75850980581351. The next prime is 75850980581377. The reversal of 75850980581376 is 67318508905857.

75850980581376 is a `hidden beast` number, since 7 + 5 + 8 + 5 + 0 + 9 + 8 + 0 + 581 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75850980581377) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1039054528476 + ... + 1039054528548.

Almost surely, 2^{75850980581376} is an apocalyptic number.

75850980581376 is a gapful number since it is divisible by the number (76) 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 75850980581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162293992830720).

75850980581376 is an abundant number, since it is smaller than the sum of its proper divisors (248737005080064).

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

75850980581376 is a wasteful number, since it uses less digits than its factorization.

75850980581376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 72.

The spelling of 75850980581376 in words is "seventy-five trillion, eight hundred fifty billion, nine hundred eighty million, five hundred eighty-one thousand, three hundred seventy-six".