2361135394560 has 576 divisors, whose sum is σ = 7832634163200. Its totient is φ = 605772840960.

The previous prime is 2361135394547. The next prime is 2361135394567. The reversal of 2361135394560 is 654935311632.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361135394567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5258653216 + ... + 5258653664.

It is an arithmetic number, because the mean of its divisors is an integer number (13598323200).

Almost surely, 2^{2361135394560} is an apocalyptic number.

2361135394560 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 2361135394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916317081600).

2361135394560 is an abundant number, since it is smaller than the sum of its proper divisors (5471498768640).

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

2361135394560 is a wasteful number, since it uses less digits than its factorization.

2361135394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 2361135394560 in words is "two trillion, three hundred sixty-one billion, one hundred thirty-five million, three hundred ninety-four thousand, five hundred sixty".