653492128415040 has 896 divisors, whose sum is σ = 2440903768627200. Its totient is φ = 164128313180160.

The previous prime is 653492128415029. The next prime is 653492128415153. The reversal of 653492128415040 is 40514821294356.

653492128415040 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 9 + 2 + 128 + 4 + 1 + 504 + 0 = 666.

653492128415040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 54589596255 + ... + 54589608225.

Almost surely, 2^{653492128415040} is an apocalyptic number.

653492128415040 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 653492128415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220451884313600).

653492128415040 is an abundant number, since it is smaller than the sum of its proper divisors (1787411640212160).

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

653492128415040 is a wasteful number, since it uses less digits than its factorization.

653492128415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13932 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 653492128415040 in words is "six hundred fifty-three trillion, four hundred ninety-two billion, one hundred twenty-eight million, four hundred fifteen thousand, forty".