11253551300096 has 160 divisors (see below), whose sum is σ = 27212983471872. Its totient is φ = 4538564444160.

The previous prime is 11253551300071. The next prime is 11253551300137. The reversal of 11253551300096 is 69000315535211.

11253551300096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669407531 + ... + 669424341.

Almost surely, 2^{11253551300096} is an apocalyptic number.

11253551300096 is a gapful number since it is divisible by the number (16) 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 11253551300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606491735936).

11253551300096 is an abundant number, since it is smaller than the sum of its proper divisors (15959432171776).

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

11253551300096 is a wasteful number, since it uses less digits than its factorization.

11253551300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27840 (or 27824 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 41.

The spelling of 11253551300096 in words is "eleven trillion, two hundred fifty-three billion, five hundred fifty-one million, three hundred thousand, ninety-six".