11648285510400 has 1944 divisors, whose sum is σ = 54125222118240. Its totient is φ = 2336676249600.

The previous prime is 11648285510387. The next prime is 11648285510419. The reversal of 11648285510400 is 401558284611.

11648285510400 is a `hidden beast` number, since 1 + 1 + 6 + 482 + 85 + 51 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1414824684 + ... + 1414832916.

Almost surely, 2^{11648285510400} is an apocalyptic number.

11648285510400 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 11648285510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27062611059120).

11648285510400 is an abundant number, since it is smaller than the sum of its proper divisors (42476936607840).

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

11648285510400 is a wasteful number, since it uses less digits than its factorization.

11648285510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 11648285510400 in words is "eleven trillion, six hundred forty-eight billion, two hundred eighty-five million, five hundred ten thousand, four hundred".