2353641132500 has 480 divisors, whose sum is σ = 6366002227200. Its totient is φ = 759507840000.

The previous prime is 2353641132467. The next prime is 2353641132503. The reversal of 2353641132500 is 52311463532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353641132503) 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, 983551304 + ... + 983553696.

It is an arithmetic number, because the mean of its divisors is an integer number (13262504640).

Almost surely, 2^{2353641132500} is an apocalyptic number.

2353641132500 is a gapful number since it is divisible by the number (20) 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 2353641132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183001113600).

2353641132500 is an abundant number, since it is smaller than the sum of its proper divisors (4012361094700).

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

2353641132500 is a wasteful number, since it uses less digits than its factorization.

2353641132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 2353641132500 in words is "two trillion, three hundred fifty-three billion, six hundred forty-one million, one hundred thirty-two thousand, five hundred".