245026728000 has 1792 divisors, whose sum is σ = 1017620398080. Its totient is φ = 57480192000.

The previous prime is 245026727987. The next prime is 245026728007. The reversal of 245026728000 is 827620542.

245026728000 is a `hidden beast` number, since 2 + 4 + 502 + 6 + 72 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (245026728007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5698295979 + ... + 5698296021.

Almost surely, 2^245026728000 is an apocalyptic number.

245026728000 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 245026728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508810199040).

245026728000 is an abundant number, since it is smaller than the sum of its proper divisors (772593670080).

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

245026728000 is a wasteful number, since it uses less digits than its factorization.

245026728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 245026728000 in words is "two hundred forty-five billion, twenty-six million, seven hundred twenty-eight thousand".