245771280000 has 320 divisors, whose sum is σ = 906426100800. Its totient is φ = 65538432000.

The previous prime is 245771279959. The next prime is 245771280043. The reversal of 245771280000 is 82177542.

245771280000 is a `hidden beast` number, since 2 + 4 + 577 + 1 + 2 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2103109 + ... + 2216891.

It is an arithmetic number, because the mean of its divisors is an integer number (2832581565).

Almost surely, 2^245771280000 is an apocalyptic number.

245771280000 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 245771280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453213050400).

245771280000 is an abundant number, since it is smaller than the sum of its proper divisors (660654820800).

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

245771280000 is an equidigital number, since it uses as much as digits as its factorization.

245771280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113826 (or 113793 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 245771280000 in words is "two hundred forty-five billion, seven hundred seventy-one million, two hundred eighty thousand".