1611620000000 has 288 divisors, whose sum is σ = 4090185232224. Its totient is φ = 633600000000.

The previous prime is 1611619999967. The next prime is 1611620000033. The reversal of 1611620000000 is 261161.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1611619999967) and next prime (1611620000033).

It can be written as a sum of positive squares in 16 ways, for example, as 565696528384 + 1045923471616 = 752128^2 + 1022704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219999340 + ... + 1220000660.

Almost surely, 2^{1611620000000} is an apocalyptic number.

1611620000000 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 1611620000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045092616112).

1611620000000 is an abundant number, since it is smaller than the sum of its proper divisors (2478565232224).

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

1611620000000 is an frugal number, since it uses more digits than its factorization.

1611620000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1611620000000 its reverse (261161), we get a palindrome (1611620261161).

The spelling of 1611620000000 in words is "one trillion, six hundred eleven billion, six hundred twenty million", and thus it is an aban number.