84775253472 has 576 divisors, whose sum is σ = 316219438080. Its totient is φ = 20905869312.

The previous prime is 84775253461. The next prime is 84775253473. The reversal of 84775253472 is 27435257748.

It is a happy number.

84775253472 is a `hidden beast` number, since 8 + 4 + 77 + 52 + 53 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84775253473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79750413 + ... + 79751475.

It is an arithmetic number, because the mean of its divisors is an integer number (548992080).

Almost surely, 2^84775253472 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 84775253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158109719040).

84775253472 is an abundant number, since it is smaller than the sum of its proper divisors (231444184608).

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

84775253472 is a wasteful number, since it uses less digits than its factorization.

84775253472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1284 counting only the distinct ones).

The product of its digits is 13171200, while the sum is 54.

The spelling of 84775253472 in words is "eighty-four billion, seven hundred seventy-five million, two hundred fifty-three thousand, four hundred seventy-two".