11038648572 has 240 divisors, whose sum is σ = 34010587072. Its totient is φ = 3056901120.

The previous prime is 11038648559. The next prime is 11038648613. The reversal of 11038648572 is 27584683011.

11038648572 is a `hidden beast` number, since 1 + 1 + 0 + 38 + 6 + 48 + 572 = 666.

It is a super-2 number, since 2×11038648572² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10098858 + ... + 10099950.

Almost surely, 2^11038648572 is an apocalyptic number.

11038648572 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 11038648572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005293536).

11038648572 is an abundant number, since it is smaller than the sum of its proper divisors (22971938500).

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

11038648572 is a wasteful number, since it uses less digits than its factorization.

11038648572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11038648572 in words is "eleven billion, thirty-eight million, six hundred forty-eight thousand, five hundred seventy-two".