22762628048160 has 3840 divisors, whose sum is σ = 115283365198848. Its totient is φ = 4104414167040.

The previous prime is 22762628048129. The next prime is 22762628048161. The reversal of 22762628048160 is 6184082626722.

22762628048160 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 2 + 628 + 0 + 4 + 8 + 1 + 6 + 0 = 666.

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 = 22762628048097 and 22762628048106.

It is not an unprimeable number, because it can be changed into a prime (22762628048161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 26685378294 + ... + 26685379146.

Almost surely, 2^{22762628048160} is an apocalyptic number.

22762628048160 is a gapful number since it is divisible by the number (20) 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 22762628048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57641682599424).

22762628048160 is an abundant number, since it is smaller than the sum of its proper divisors (92520737150688).

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

22762628048160 is a wasteful number, since it uses less digits than its factorization.

22762628048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 22762628048160 in words is "twenty-two trillion, seven hundred sixty-two billion, six hundred twenty-eight million, forty-eight thousand, one hundred sixty".