11472106140 has 480 divisors, whose sum is σ = 42698557440. Its totient is φ = 2547417600.

The previous prime is 11472106133. The next prime is 11472106157. The reversal of 11472106140 is 4160127411.

11472106140 is a `hidden beast` number, since 1 + 1 + 47 + 2 + 1 + 0 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10495434 + ... + 10496526.

It is an arithmetic number, because the mean of its divisors is an integer number (88955328).

Almost surely, 2^11472106140 is an apocalyptic number.

11472106140 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 11472106140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21349278720).

11472106140 is an abundant number, since it is smaller than the sum of its proper divisors (31226451300).

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

11472106140 is a wasteful number, since it uses less digits than its factorization.

11472106140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11472106140 in words is "eleven billion, four hundred seventy-two million, one hundred six thousand, one hundred forty".