11253157493760 has 4224 divisors, whose sum is σ = 54770252544000. Its totient is φ = 2127358328832.

The previous prime is 11253157493729. The next prime is 11253157493789. The reversal of 11253157493760 is 6739475135211.

11253157493760 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 1 + 574 + 9 + 3 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11253157493697 and 11253157493706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 126439971796 + ... + 126439971884.

Almost surely, 2^{11253157493760} is an apocalyptic number.

11253157493760 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 11253157493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27385126272000).

11253157493760 is an abundant number, since it is smaller than the sum of its proper divisors (43517095050240).

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

11253157493760 is a wasteful number, since it uses less digits than its factorization.

11253157493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 11253157493760 in words is "eleven trillion, two hundred fifty-three billion, one hundred fifty-seven million, four hundred ninety-three thousand, seven hundred sixty".