1225867577760 has 768 divisors, whose sum is σ = 5069752934400. Its totient is φ = 270832730112.

The previous prime is 1225867577749. The next prime is 1225867577777. The reversal of 1225867577760 is 677757685221.

It is a happy number.

1225867577760 is a `hidden beast` number, since 1 + 2 + 2 + 58 + 6 + 7 + 577 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 126126181 + ... + 126135899.

It is an arithmetic number, because the mean of its divisors is an integer number (6601240800).

Almost surely, 2^{1225867577760} is an apocalyptic number.

1225867577760 is a gapful number since it is divisible by the number (10) 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 1225867577760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534876467200).

1225867577760 is an abundant number, since it is smaller than the sum of its proper divisors (3843885356640).

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

1225867577760 is a wasteful number, since it uses less digits than its factorization.

1225867577760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9876 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 1225867577760 in words is "one trillion, two hundred twenty-five billion, eight hundred sixty-seven million, five hundred seventy-seven thousand, seven hundred sixty".