1087516819200 has 1296 divisors, whose sum is σ = 4472528677344. Its totient is φ = 231211008000.

The previous prime is 1087516819189. The next prime is 1087516819231. The reversal of 1087516819200 is 29186157801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1087516819200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1551378850 + ... + 1551379550.

It is an arithmetic number, because the mean of its divisors is an integer number (3451025214).

Almost surely, 2^{1087516819200} is an apocalyptic number.

1087516819200 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 1087516819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236264338672).

1087516819200 is an abundant number, since it is smaller than the sum of its proper divisors (3385011858144).

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

1087516819200 is a wasteful number, since it uses less digits than its factorization.

1087516819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 1087516819200 in words is "one trillion, eighty-seven billion, five hundred sixteen million, eight hundred nineteen thousand, two hundred".