11251901082240 has 3584 divisors, whose sum is σ = 52359105576960. Its totient is φ = 2247729315840.

The previous prime is 11251901082239. The next prime is 11251901082269. The reversal of 11251901082240 is 4228010915211.

11251901082240 is a `hidden beast` number, since 1 + 1 + 251 + 90 + 1 + 0 + 82 + 240 = 666.

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 = 11251901082195 and 11251901082204.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 109241758029 + ... + 109241758131.

It is an arithmetic number, because the mean of its divisors is an integer number (14609125440).

Almost surely, 2^{11251901082240} is an apocalyptic number.

11251901082240 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 11251901082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26179552788480).

11251901082240 is an abundant number, since it is smaller than the sum of its proper divisors (41107204494720).

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

11251901082240 is a wasteful number, since it uses less digits than its factorization.

11251901082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 11251901082240 its reverse (4228010915211), we get a palindrome (15479911997451).

The spelling of 11251901082240 in words is "eleven trillion, two hundred fifty-one billion, nine hundred one million, eighty-two thousand, two hundred forty".