245555531312400 has 360 divisors, whose sum is σ = 854082979940736. Its totient is φ = 65332699238400.

The previous prime is 245555531312387. The next prime is 245555531312407. The reversal of 245555531312400 is 4213135555542.

245555531312400 is a `hidden beast` number, since 2 + 4 + 5 + 55 + 553 + 1 + 3 + 1 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (245555531312407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7082021464 + ... + 7082056136.

Almost surely, 2^{245555531312400} is an apocalyptic number.

245555531312400 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 245555531312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427041489970368).

245555531312400 is an abundant number, since it is smaller than the sum of its proper divisors (608527448628336).

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

245555531312400 is a wasteful number, since it uses less digits than its factorization.

245555531312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39111 (or 39097 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

Adding to 245555531312400 its reverse (4213135555542), we get a palindrome (249768666867942).

The spelling of 245555531312400 in words is "two hundred forty-five trillion, five hundred fifty-five billion, five hundred thirty-one million, three hundred twelve thousand, four hundred".