11251602000 has 320 divisors, whose sum is σ = 40724536320. Its totient is φ = 2969280000.

The previous prime is 11251601969. The next prime is 11251602049. The reversal of 11251602000 is 20615211.

11251602000 is a `hidden beast` number, since 1 + 12 + 51 + 602 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5452969 + ... + 5455031.

It is an arithmetic number, because the mean of its divisors is an integer number (127264176).

Almost surely, 2^11251602000 is an apocalyptic number.

11251602000 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 11251602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20362268160).

11251602000 is an abundant number, since it is smaller than the sum of its proper divisors (29472934320).

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

11251602000 is a wasteful number, since it uses less digits than its factorization.

11251602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11251602000 in words is "eleven billion, two hundred fifty-one million, six hundred two thousand".