1087345459200 has 2448 divisors, whose sum is σ = 5139526692096. Its totient is φ = 196293427200.

The previous prime is 1087345459199. The next prime is 1087345459219. The reversal of 1087345459200 is 29545437801.

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 1087345459200.

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, 63961497592 + ... + 63961497608.

Almost surely, 2^{1087345459200} is an apocalyptic number.

1087345459200 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 1087345459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569763346048).

1087345459200 is an abundant number, since it is smaller than the sum of its proper divisors (4052181232896).

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

1087345459200 is a wasteful number, since it uses less digits than its factorization.

1087345459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 1087345459200 in words is "one trillion, eighty-seven billion, three hundred forty-five million, four hundred fifty-nine thousand, two hundred".