6453185137920 has 864 divisors, whose sum is σ = 24863050517760. Its totient is φ = 1596718448640.

The previous prime is 6453185137843. The next prime is 6453185137939. The reversal of 6453185137920 is 297315813546.

It is a happy number.

6453185137920 is a `hidden beast` number, since 6 + 4 + 5 + 31 + 8 + 513 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 375416686 + ... + 375433874.

It is an arithmetic number, because the mean of its divisors is an integer number (28776678840).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6453185137920 = 12906370275840, but 3⋅6453185137920 = 19359555413760 is not.

Almost surely, 2^{6453185137920} is an apocalyptic number.

6453185137920 is a gapful number since it is divisible by the number (60) 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 6453185137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431525258880).

6453185137920 is an abundant number, since it is smaller than the sum of its proper divisors (18409865379840).

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

6453185137920 is a wasteful number, since it uses less digits than its factorization.

6453185137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17313 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 6453185137920 in words is "six trillion, four hundred fifty-three billion, one hundred eighty-five million, one hundred thirty-seven thousand, nine hundred twenty".