1612800000 has 504 divisors, whose sum is σ = 6655167792. Its totient is φ = 368640000.

The previous prime is 1612799959. The next prime is 1612800019. The reversal of 1612800000 is 82161.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1612800000² = 5202247680000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230399997 + ... + 230400003.

It is an arithmetic number, because the mean of its divisors is an integer number (13204698).

Almost surely, 2^1612800000 is an apocalyptic number.

1612800000 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 1612800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327583896).

1612800000 is an abundant number, since it is smaller than the sum of its proper divisors (5042367792).

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

1612800000 is an frugal number, since it uses more digits than its factorization.

1612800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1612800000 is about 40159.6812736356. The cubic root of 1612800000 is about 1172.7177671026.

Adding to 1612800000 its reverse (82161), we get a palindrome (1612882161).

It can be divided in two parts, 161 and 2800000, that added together give a triangular number (2800161 = T₂₃₆₆).

The spelling of 1612800000 in words is "one billion, six hundred twelve million, eight hundred thousand".