22787800449120 has 1152 divisors, whose sum is σ = 91897172849664. Its totient is φ = 5034656120832.

The previous prime is 22787800449119. The next prime is 22787800449131. The reversal of 22787800449120 is 2194400878722.

22787800449120 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 78 + 0 + 0 + 449 + 120 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28955273367 + ... + 28955274153.

It is an arithmetic number, because the mean of its divisors is an integer number (79771851432).

Almost surely, 2^{22787800449120} is an apocalyptic number.

22787800449120 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 22787800449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45948586424832).

22787800449120 is an abundant number, since it is smaller than the sum of its proper divisors (69109372400544).

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

22787800449120 is a wasteful number, since it uses less digits than its factorization.

22787800449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 22787800449120 in words is "twenty-two trillion, seven hundred eighty-seven billion, eight hundred million, four hundred forty-nine thousand, one hundred twenty".