488765145600 has 1440 divisors, whose sum is σ = 1937097017856. Its totient is φ = 121828147200.

The previous prime is 488765145581. The next prime is 488765145629. The reversal of 488765145600 is 6541567884.

488765145600 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 65 + 14 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3567628732 + ... + 3567628868.

Almost surely, 2^488765145600 is an apocalyptic number.

488765145600 is a gapful number since it is divisible by the number (40) 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 488765145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968548508928).

488765145600 is an abundant number, since it is smaller than the sum of its proper divisors (1448331872256).

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

488765145600 is a wasteful number, since it uses less digits than its factorization.

488765145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

It can be divided in two parts, 488765145 and 600, that added together give a triangular number (488765745 = T₃₁₂₆₅).

The spelling of 488765145600 in words is "four hundred eighty-eight billion, seven hundred sixty-five million, one hundred forty-five thousand, six hundred".