465920138880 has 640 divisors, whose sum is σ = 1913491831680. Its totient is φ = 105829244928.

The previous prime is 465920138857. The next prime is 465920138909. The reversal of 465920138880 is 88831029564.

465920138880 is a `hidden beast` number, since 4 + 6 + 59 + 201 + 388 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59145502 + ... + 59153378.

It is an arithmetic number, because the mean of its divisors is an integer number (2989830987).

Almost surely, 2^465920138880 is an apocalyptic number.

465920138880 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 465920138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956745915840).

465920138880 is an abundant number, since it is smaller than the sum of its proper divisors (1447571692800).

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

465920138880 is a wasteful number, since it uses less digits than its factorization.

465920138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078 (or 8057 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 465920138880 in words is "four hundred sixty-five billion, nine hundred twenty million, one hundred thirty-eight thousand, eight hundred eighty".