488756187920 has 960 divisors, whose sum is σ = 1637391200256. Its totient is φ = 133112770560.

The previous prime is 488756187917. The next prime is 488756187961. The reversal of 488756187920 is 29781657884.

It is a super-2 number, since 2×488756187920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2153110847 + ... + 2153111073.

Almost surely, 2^488756187920 is an apocalyptic number.

488756187920 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 488756187920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818695600128).

488756187920 is an abundant number, since it is smaller than the sum of its proper divisors (1148635012336).

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

488756187920 is a wasteful number, since it uses less digits than its factorization.

488756187920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 65.

It can be divided in two parts, 488756 and 187920, that added together give a palindrome (676676).

The spelling of 488756187920 in words is "four hundred eighty-eight billion, seven hundred fifty-six million, one hundred eighty-seven thousand, nine hundred twenty".