245089877760 has 1296 divisors, whose sum is σ = 1102546894176. Its totient is φ = 51669467136.

The previous prime is 245089877737. The next prime is 245089877839. The reversal of 245089877760 is 67778980542.

245089877760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

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, 198131862 + ... + 198133098.

Almost surely, 2^245089877760 is an apocalyptic number.

245089877760 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 245089877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551273447088).

245089877760 is an abundant number, since it is smaller than the sum of its proper divisors (857457016416).

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

245089877760 is a wasteful number, since it uses less digits than its factorization.

245089877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 245089877760 in words is "two hundred forty-five billion, eighty-nine million, eight hundred seventy-seven thousand, seven hundred sixty".