11472494880 has 1152 divisors, whose sum is σ = 51888936960. Its totient is φ = 2057011200.

The previous prime is 11472494879. The next prime is 11472494903. The reversal of 11472494880 is 8849427411.

It is a super-3 number, since 3×11472494880³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 370080465 + ... + 370080495.

It is an arithmetic number, because the mean of its divisors is an integer number (45042480).

Almost surely, 2^11472494880 is an apocalyptic number.

11472494880 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 11472494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944468480).

11472494880 is an abundant number, since it is smaller than the sum of its proper divisors (40416442080).

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

11472494880 is a wasteful number, since it uses less digits than its factorization.

11472494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 11472494880 in words is "eleven billion, four hundred seventy-two million, four hundred ninety-four thousand, eight hundred eighty".