245552551011040 has 192 divisors, whose sum is σ = 714078230616576. Its totient is φ = 77703869048832.

The previous prime is 245552551011011. The next prime is 245552551011043. The reversal of 245552551011040 is 40110155255542.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 245552551010984 and 245552551011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245552551011043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118995099 + ... + 121041061.

It is an arithmetic number, because the mean of its divisors is an integer number (3719157451128).

Almost surely, 2^{245552551011040} is an apocalyptic number.

245552551011040 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 245552551011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357039115308288).

245552551011040 is an abundant number, since it is smaller than the sum of its proper divisors (468525679605536).

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

245552551011040 is a wasteful number, since it uses less digits than its factorization.

245552551011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054241 (or 2054233 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 40.

The spelling of 245552551011040 in words is "two hundred forty-five trillion, five hundred fifty-two billion, five hundred fifty-one million, eleven thousand, forty".