245157050880 has 720 divisors, whose sum is σ = 1014534429480. Its totient is φ = 54512123904.

The previous prime is 245157050851. The next prime is 245157050903. The reversal of 245157050880 is 88050751542.

245157050880 is a `hidden beast` number, since 2 + 4 + 515 + 7 + 0 + 50 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 194629204224 + 50527846656 = 441168^2 + 224784^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41768586 + ... + 41774454.

Almost surely, 2^245157050880 is an apocalyptic number.

245157050880 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 245157050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507267214740).

245157050880 is an abundant number, since it is smaller than the sum of its proper divisors (769377378600).

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

245157050880 is a wasteful number, since it uses less digits than its factorization.

245157050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5949 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 245157050880 in words is "two hundred forty-five billion, one hundred fifty-seven million, fifty thousand, eight hundred eighty".