11015628000 has 384 divisors, whose sum is σ = 39157582464. Its totient is φ = 2691072000.

The previous prime is 11015627993. The next prime is 11015628011. The reversal of 11015628000 is 82651011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37595854 + ... + 37596146.

It is an arithmetic number, because the mean of its divisors is an integer number (101972871).

Almost surely, 2^11015628000 is an apocalyptic number.

11015628000 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 11015628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19578791232).

11015628000 is an abundant number, since it is smaller than the sum of its proper divisors (28141954464).

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

11015628000 is a wasteful number, since it uses less digits than its factorization.

11015628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

It can be divided in two parts, 11015 and 628000, that added together give a triangular number (639015 = T₁₁₃₀).

The spelling of 11015628000 in words is "eleven billion, fifteen million, six hundred twenty-eight thousand".