2355601440192 has 896 divisors, whose sum is σ = 9093164236800. Its totient is φ = 517769625600.

The previous prime is 2355601440131. The next prime is 2355601440209. The reversal of 2355601440192 is 2910441065532.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113190684 + ... + 113211492.

It is an arithmetic number, because the mean of its divisors is an integer number (10148620800).

Almost surely, 2^{2355601440192} is an apocalyptic number.

2355601440192 is a gapful number since it is divisible by the number (22) 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 2355601440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546582118400).

2355601440192 is an abundant number, since it is smaller than the sum of its proper divisors (6737562796608).

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

2355601440192 is a wasteful number, since it uses less digits than its factorization.

2355601440192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20905 (or 20895 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 2355601440192 in words is "two trillion, three hundred fifty-five billion, six hundred one million, four hundred forty thousand, one hundred ninety-two".