487881418752000 has 7200 divisors, whose sum is σ = 2408625961822080. Its totient is φ = 97519848652800.

The previous prime is 487881418751977. The next prime is 487881418752053. The reversal of 487881418752000 is 257814188784.

487881418752000 is a `hidden beast` number, since 4 + 8 + 7 + 8 + 8 + 1 + 418 + 7 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25677969407991 + ... + 25677969408009.

Almost surely, 2^{487881418752000} is an apocalyptic number.

487881418752000 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 487881418752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204312980911040).

487881418752000 is an abundant number, since it is smaller than the sum of its proper divisors (1920744543070080).

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

487881418752000 is an frugal number, since it uses more digits than its factorization.

487881418752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 63.

The spelling of 487881418752000 in words is "four hundred eighty-seven trillion, eight hundred eighty-one billion, four hundred eighteen million, seven hundred fifty-two thousand".