245655874080 has 288 divisors, whose sum is σ = 856319143680. Its totient is φ = 64114053120.

The previous prime is 245655874073. The next prime is 245655874109. The reversal of 245655874080 is 80478556542.

245655874080 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 558 + 7 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13761801 + ... + 13779639.

It is an arithmetic number, because the mean of its divisors is an integer number (2973330360).

Almost surely, 2^245655874080 is an apocalyptic number.

245655874080 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 245655874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428159571840).

245655874080 is an abundant number, since it is smaller than the sum of its proper divisors (610663269600).

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

245655874080 is a wasteful number, since it uses less digits than its factorization.

245655874080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18064 (or 18053 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 245655874080 in words is "two hundred forty-five billion, six hundred fifty-five million, eight hundred seventy-four thousand, eighty".