862272552960 has 2448 divisors, whose sum is σ = 4111825195296. Its totient is φ = 171228266496.

The previous prime is 862272552929. The next prime is 862272552971. The reversal of 862272552960 is 69255272268.

862272552960 is a `hidden beast` number, since 8 + 6 + 2 + 27 + 2 + 552 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2448).

It is a super-3 number, since 3×862272552960³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 862272552897 and 862272552906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50721914872 + ... + 50721914888.

Almost surely, 2^862272552960 is an apocalyptic number.

862272552960 is a gapful number since it is divisible by the number (80) 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 862272552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055912597648).

862272552960 is an abundant number, since it is smaller than the sum of its proper divisors (3249552642336).

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

862272552960 is an equidigital number, since it uses as much as digits as its factorization.

862272552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 862272552960 in words is "eight hundred sixty-two billion, two hundred seventy-two million, five hundred fifty-two thousand, nine hundred sixty".