496153213920 has 960 divisors, whose sum is σ = 2201184792576. Its totient is φ = 102444134400.

The previous prime is 496153213903. The next prime is 496153213921. The reversal of 496153213920 is 29312351694.

496153213920 is a `hidden beast` number, since 4 + 9 + 61 + 532 + 1 + 39 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496153213921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55425445 + ... + 55434395.

Almost surely, 2^496153213920 is an apocalyptic number.

496153213920 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 496153213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100592396288).

496153213920 is an abundant number, since it is smaller than the sum of its proper divisors (1705031578656).

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

496153213920 is a wasteful number, since it uses less digits than its factorization.

496153213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 496153213920 in words is "four hundred ninety-six billion, one hundred fifty-three million, two hundred thirteen thousand, nine hundred twenty".