11402753472 has 378 divisors, whose sum is σ = 37322083344. Its totient is φ = 3324541440.

The previous prime is 11402753419. The next prime is 11402753489. The reversal of 11402753472 is 27435720411.

11402753472 is a `hidden beast` number, since 1 + 1 + 40 + 275 + 347 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 193266979 + ... + 193267037.

Almost surely, 2^11402753472 is an apocalyptic number.

11402753472 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 11402753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661041672).

11402753472 is an abundant number, since it is smaller than the sum of its proper divisors (25919329872).

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

11402753472 is a wasteful number, since it uses less digits than its factorization.

11402753472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 11402753472 in words is "eleven billion, four hundred two million, seven hundred fifty-three thousand, four hundred seventy-two".