61665214202000 has 320 divisors, whose sum is σ = 151792073971200. Its totient is φ = 24227055360000.

The previous prime is 61665214201993. The next prime is 61665214202047. The reversal of 61665214202000 is 20241256616.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10214542982 + ... + 10214549018.

It is an arithmetic number, because the mean of its divisors is an integer number (474350231160).

Almost surely, 2^{61665214202000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61665214202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75896036985600).

61665214202000 is an abundant number, since it is smaller than the sum of its proper divisors (90126859769200).

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

61665214202000 is a wasteful number, since it uses less digits than its factorization.

61665214202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 61665214202000 its reverse (20241256616), we get a palindrome (61685455458616).

The spelling of 61665214202000 in words is "sixty-one trillion, six hundred sixty-five billion, two hundred fourteen million, two hundred two thousand".