468153275520 has 1536 divisors, whose sum is σ = 1949038848000. Its totient is φ = 94829543424.

The previous prime is 468153275489. The next prime is 468153275573. The reversal of 468153275520 is 25572351864.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 468153275520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2425664544 + ... + 2425664736.

It is an arithmetic number, because the mean of its divisors is an integer number (1268905500).

Almost surely, 2^468153275520 is an apocalyptic number.

468153275520 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 468153275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974519424000).

468153275520 is an abundant number, since it is smaller than the sum of its proper divisors (1480885572480).

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

468153275520 is a wasteful number, since it uses less digits than its factorization.

468153275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 468153275520 in words is "four hundred sixty-eight billion, one hundred fifty-three million, two hundred seventy-five thousand, five hundred twenty".