11261355000 has 160 divisors (see below), whose sum is σ = 40206629760. Its totient is φ = 2574000000.

The previous prime is 11261354989. The next prime is 11261355019. The reversal of 11261355000 is 55316211.

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 39 ways as a sum of consecutive naturals, for example, 51375 + ... + 158625.

It is an arithmetic number, because the mean of its divisors is an integer number (251291436).

Almost surely, 2^11261355000 is an apocalyptic number.

11261355000 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 11261355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20103314880).

11261355000 is an abundant number, since it is smaller than the sum of its proper divisors (28945274760).

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

11261355000 is a wasteful number, since it uses less digits than its factorization.

11261355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107287 (or 107268 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 11261355000 in words is "eleven billion, two hundred sixty-one million, three hundred fifty-five thousand".