8211457197504 has 252 divisors, whose sum is σ = 26829060242712. Its totient is φ = 2488319792640.

The previous prime is 8211457197469. The next prime is 8211457197521. The reversal of 8211457197504 is 4057917541128.

8211457197504 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 45 + 7 + 1 + 97 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 300027 + ... + 4063610.

Almost surely, 2^{8211457197504} 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 8211457197504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414530121356).

8211457197504 is an abundant number, since it is smaller than the sum of its proper divisors (18617603045208).

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

8211457197504 is a wasteful number, since it uses less digits than its factorization.

8211457197504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363686 (or 4363653 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 8211457197504 in words is "eight trillion, two hundred eleven billion, four hundred fifty-seven million, one hundred ninety-seven thousand, five hundred four".