11553065030472 has 512 divisors, whose sum is σ = 36838323486720. Its totient is φ = 2943770296320.

The previous prime is 11553065030449. The next prime is 11553065030483. The reversal of 11553065030472 is 27403056035511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 830372188 + ... + 830386100.

It is an arithmetic number, because the mean of its divisors is an integer number (71949850560).

Almost surely, 2^{11553065030472} is an apocalyptic number.

11553065030472 is a gapful number since it is divisible by the number (12) 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 11553065030472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419161743360).

11553065030472 is an abundant number, since it is smaller than the sum of its proper divisors (25285258456248).

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

11553065030472 is a wasteful number, since it uses less digits than its factorization.

11553065030472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14173 (or 14169 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 11553065030472 in words is "eleven trillion, five hundred fifty-three billion, sixty-five million, thirty thousand, four hundred seventy-two".