1137165868800 has 2160 divisors, whose sum is σ = 4868879621760. Its totient is φ = 259541729280.

The previous prime is 1137165868799. The next prime is 1137165868913. The reversal of 1137165868800 is 88685617311.

1137165868800 is a `hidden beast` number, since 11 + 37 + 16 + 586 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10627718347 + ... + 10627718453.

It is an arithmetic number, because the mean of its divisors is an integer number (2254110936).

Almost surely, 2^{1137165868800} is an apocalyptic number.

1137165868800 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 1137165868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434439810880).

1137165868800 is an abundant number, since it is smaller than the sum of its proper divisors (3731713752960).

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

1137165868800 is a wasteful number, since it uses less digits than its factorization.

1137165868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 1137165868800 in words is "one trillion, one hundred thirty-seven billion, one hundred sixty-five million, eight hundred sixty-eight thousand, eight hundred".