1796401152000 has 3600 divisors, whose sum is σ = 8884276088688. Its totient is φ = 356725555200.

The previous prime is 1796401151929. The next prime is 1796401152071. The reversal of 1796401152000 is 2511046971.

1796401152000 is a `hidden beast` number, since 1 + 7 + 9 + 640 + 1 + 1 + 5 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1796401151929) and next prime (1796401152071).

It can be written as a sum of positive squares in 8 ways, for example, as 663351607296 + 1133049544704 = 814464^2 + 1064448^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

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

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, 105670655992 + ... + 105670656008.

Almost surely, 2^{1796401152000} is an apocalyptic number.

1796401152000 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 1796401152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442138044344).

1796401152000 is an abundant number, since it is smaller than the sum of its proper divisors (7087874936688).

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

1796401152000 is an equidigital number, since it uses as much as digits as its factorization.

1796401152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 1796401152000 its reverse (2511046971), we get a palindrome (1798912198971).

The spelling of 1796401152000 in words is "one trillion, seven hundred ninety-six billion, four hundred one million, one hundred fifty-two thousand".