1005599081088 has 96 divisors (see below), whose sum is σ = 3307104147360. Its totient is φ = 287314020864.

The previous prime is 1005599080957. The next prime is 1005599081089. The reversal of 1005599081088 is 8801809955001.

1005599081088 is a `hidden beast` number, since 1 + 0 + 0 + 559 + 9 + 0 + 8 + 1 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1005599081088² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005599081089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62343070 + ... + 62359197.

It is an arithmetic number, because the mean of its divisors is an integer number (34449001535).

Almost surely, 2^{1005599081088} is an apocalyptic number.

1005599081088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1005599081088 is an abundant number, since it is smaller than the sum of its proper divisors (2301505066272).

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

1005599081088 is a wasteful number, since it uses less digits than its factorization.

1005599081088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124702294 (or 124702279 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 1005599081088 in words is "one trillion, five billion, five hundred ninety-nine million, eighty-one thousand, eighty-eight".