481965609510 has 384 divisors, whose sum is σ = 1624995800064. Its totient is φ = 99851304960.

The previous prime is 481965609481. The next prime is 481965609527. The reversal of 481965609510 is 15906569184.

481965609510 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 65 + 60 + 9 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 66046182 + ... + 66053478.

It is an arithmetic number, because the mean of its divisors is an integer number (4231759896).

Almost surely, 2^481965609510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481965609510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812497900032).

481965609510 is an abundant number, since it is smaller than the sum of its proper divisors (1143030190554).

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

481965609510 is a wasteful number, since it uses less digits than its factorization.

481965609510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 481965609510 in words is "four hundred eighty-one billion, nine hundred sixty-five million, six hundred nine thousand, five hundred ten".