1128219887520 has 1536 divisors, whose sum is σ = 4728007065600. Its totient is φ = 248234803200.

The previous prime is 1128219887513. The next prime is 1128219887527. The reversal of 1128219887520 is 257889128211.

It is a happy number.

1128219887520 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 21 + 98 + 8 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (1128219887513) and next prime (1128219887527).

It is a super-2 number, since 2×1128219887520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1128219887527) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4842145324 + ... + 4842145556.

It is an arithmetic number, because the mean of its divisors is an integer number (3078129600).

Almost surely, 2^{1128219887520} is an apocalyptic number.

1128219887520 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 1128219887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364003532800).

1128219887520 is an abundant number, since it is smaller than the sum of its proper divisors (3599787178080).

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

1128219887520 is a wasteful number, since it uses less digits than its factorization.

1128219887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 1128219887520 in words is "one trillion, one hundred twenty-eight billion, two hundred nineteen million, eight hundred eighty-seven thousand, five hundred twenty".