11353133315040 has 96 divisors (see below), whose sum is σ = 39013494500736. Its totient is φ = 2752274741760.

The previous prime is 11353133314889. The next prime is 11353133315053. The reversal of 11353133315040 is 4051333135311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11353133315040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11353133314992 and 11353133315010.

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, 1075102042 + ... + 1075112601.

It is an arithmetic number, because the mean of its divisors is an integer number (406390567716).

Almost surely, 2^{11353133315040} is an apocalyptic number.

11353133315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11353133315040 is an abundant number, since it is smaller than the sum of its proper divisors (27660361185696).

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

11353133315040 is a wasteful number, since it uses less digits than its factorization.

11353133315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150214672 (or 2150214664 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The spelling of 11353133315040 in words is "eleven trillion, three hundred fifty-three billion, one hundred thirty-three million, three hundred fifteen thousand, forty".