487970611200 has 1344 divisors, whose sum is σ = 1974610224000. Its totient is φ = 117587312640.

The previous prime is 487970611199. The next prime is 487970611283. The reversal of 487970611200 is 2116079784.

It is a happy number.

487970611200 is a `hidden beast` number, since 4 + 8 + 7 + 9 + 7 + 0 + 611 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2726092711 + ... + 2726092889.

Almost surely, 2^487970611200 is an apocalyptic number.

487970611200 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 487970611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987305112000).

487970611200 is an abundant number, since it is smaller than the sum of its proper divisors (1486639612800).

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

487970611200 is a wasteful number, since it uses less digits than its factorization.

487970611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 487970611200 in words is "four hundred eighty-seven billion, nine hundred seventy million, six hundred eleven thousand, two hundred".