487836958801920 has 1440 divisors, whose sum is σ = 1967254975123200. Its totient is φ = 102922655367168.

The previous prime is 487836958801909. The next prime is 487836958801931. The reversal of 487836958801920 is 29108859638784.

It is an interprime number because it is at equal distance from previous prime (487836958801909) and next prime (487836958801931).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26456792061 + ... + 26456810499.

It is an arithmetic number, because the mean of its divisors is an integer number (1366149288280).

It is a 1-persistent number, because it is pandigital, but 2⋅487836958801920 = 975673917603840 is not.

Almost surely, 2^{487836958801920} is an apocalyptic number.

487836958801920 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 487836958801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983627487561600).

487836958801920 is an abundant number, since it is smaller than the sum of its proper divisors (1479418016321280).

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

487836958801920 is an equidigital number, since it uses as much as digits as its factorization.

487836958801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18528 (or 18469 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 78.

The spelling of 487836958801920 in words is "four hundred eighty-seven trillion, eight hundred thirty-six billion, nine hundred fifty-eight million, eight hundred one thousand, nine hundred twenty".