10236250506240 has 1056 divisors, whose sum is σ = 42487107272064. Its totient is φ = 2335490703360.

The previous prime is 10236250506239. The next prime is 10236250506271. The reversal of 10236250506240 is 4260505263201.

10236250506240 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 6 + 25 + 0 + 5 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10236250506195 and 10236250506204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232635922 + ... + 232679918.

Almost surely, 2^{10236250506240} is an apocalyptic number.

10236250506240 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 10236250506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21243553636032).

10236250506240 is an abundant number, since it is smaller than the sum of its proper divisors (32250856765824).

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

10236250506240 is a wasteful number, since it uses less digits than its factorization.

10236250506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44065 (or 44035 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10236250506240 its reverse (4260505263201), we get a palindrome (14496755769441).

The spelling of 10236250506240 in words is "ten trillion, two hundred thirty-six billion, two hundred fifty million, five hundred six thousand, two hundred forty".