1653025119520 has 192 divisors, whose sum is σ = 4209742817280. Its totient is φ = 611357580288.

The previous prime is 1653025119509. The next prime is 1653025119583. The reversal of 1653025119520 is 259115203561.

It is a super-2 number, since 2×1653025119520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193853497 + ... + 193862023.

It is an arithmetic number, because the mean of its divisors is an integer number (21925743840).

Almost surely, 2^{1653025119520} is an apocalyptic number.

1653025119520 is a gapful number since it is divisible by the number (10) 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 1653025119520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104871408640).

1653025119520 is an abundant number, since it is smaller than the sum of its proper divisors (2556717697760).

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

1653025119520 is a wasteful number, since it uses less digits than its factorization.

1653025119520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10087 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 40.

The spelling of 1653025119520 in words is "one trillion, six hundred fifty-three billion, twenty-five million, one hundred nineteen thousand, five hundred twenty".