11166387029040 has 80 divisors (see below), whose sum is σ = 35420818422528. Its totient is φ = 2908454293248.

The previous prime is 11166387029033. The next prime is 11166387029041. The reversal of 11166387029040 is 4092078366111.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (11166387029041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540996804 + ... + 541017443.

Almost surely, 2^{11166387029040} is an apocalyptic number.

11166387029040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11166387029040 is an abundant number, since it is smaller than the sum of its proper divisors (24254431393488).

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

11166387029040 is a wasteful number, since it uses less digits than its factorization.

11166387029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082014306 (or 1082014300 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 11166387029040 in words is "eleven trillion, one hundred sixty-six billion, three hundred eighty-seven million, twenty-nine thousand, forty".