822127011552 has 960 divisors, whose sum is σ = 3096250375680. Its totient is φ = 209556357120.

The previous prime is 822127011551. The next prime is 822127011581. The reversal of 822127011552 is 255110721228.

822127011552 is a `hidden beast` number, since 8 + 2 + 21 + 2 + 70 + 11 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822127011551) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1424829888 + ... + 1424830464.

It is an arithmetic number, because the mean of its divisors is an integer number (3225260808).

Almost surely, 2^822127011552 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 822127011552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548125187840).

822127011552 is an abundant number, since it is smaller than the sum of its proper divisors (2274123364128).

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

822127011552 is a wasteful number, since it uses less digits than its factorization.

822127011552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 822127011552 in words is "eight hundred twenty-two billion, one hundred twenty-seven million, eleven thousand, five hundred fifty-two".