11425478215200 has 1296 divisors, whose sum is σ = 45875230922304. Its totient is φ = 2458094284800.

The previous prime is 11425478215171. The next prime is 11425478215247. The reversal of 11425478215200 is 251287452411.

It is a super-2 number, since 2×11425478215200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 12141846730 + ... + 12141847670.

It is an arithmetic number, because the mean of its divisors is an integer number (35397554724).

Almost surely, 2^{11425478215200} is an apocalyptic number.

11425478215200 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 11425478215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937615461152).

11425478215200 is an abundant number, since it is smaller than the sum of its proper divisors (34449752707104).

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

11425478215200 is a wasteful number, since it uses less digits than its factorization.

11425478215200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 11425478215200 in words is "eleven trillion, four hundred twenty-five billion, four hundred seventy-eight million, two hundred fifteen thousand, two hundred".