245801070720 has 224 divisors, whose sum is σ = 881025919020. Its totient is φ = 65546827776.

The previous prime is 245801070677. The next prime is 245801070731. The reversal of 245801070720 is 27070108542.

245801070720 is a `hidden beast` number, since 2 + 4 + 580 + 1 + 0 + 7 + 0 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 242323845696 + 3477225024 = 492264^2 + 58968^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 203142 + ... + 729978.

Almost surely, 2^245801070720 is an apocalyptic number.

245801070720 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 245801070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440512959510).

245801070720 is an abundant number, since it is smaller than the sum of its proper divisors (635224848300).

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

245801070720 is an frugal number, since it uses more digits than its factorization.

245801070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526874 (or 526847 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 245801070720 in words is "two hundred forty-five billion, eight hundred one million, seventy thousand, seven hundred twenty".