1161925632000 has 2016 divisors, whose sum is σ = 5090559312384. Its totient is φ = 253919232000.

The previous prime is 1161925631963. The next prime is 1161925632097. The reversal of 1161925632000 is 2365291611.

1161925632000 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 92 + 563 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13999103959 + ... + 13999104041.

It is an arithmetic number, because the mean of its divisors is an integer number (2525079024).

Almost surely, 2^{1161925632000} is an apocalyptic number.

1161925632000 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 1161925632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545279656192).

1161925632000 is an abundant number, since it is smaller than the sum of its proper divisors (3928633680384).

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

1161925632000 is an equidigital number, since it uses as much as digits as its factorization.

1161925632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1161925632000 in words is "one trillion, one hundred sixty-one billion, nine hundred twenty-five million, six hundred thirty-two thousand".