61020009031680 has 576 divisors, whose sum is σ = 224696349259200. Its totient is φ = 15271463485440.

The previous prime is 61020009031633. The next prime is 61020009031687. The reversal of 61020009031680 is 8613090002016.

61020009031680 is a `hidden beast` number, since 61 + 0 + 200 + 0 + 9 + 0 + 316 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (61020009031687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187198440 + ... + 187524120.

It is an arithmetic number, because the mean of its divisors is an integer number (390097828575).

Almost surely, 2^{61020009031680} is an apocalyptic number.

61020009031680 is a gapful number since it is divisible by the number (60) 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 61020009031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112348174629600).

61020009031680 is an abundant number, since it is smaller than the sum of its proper divisors (163676340227520).

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

61020009031680 is a wasteful number, since it uses less digits than its factorization.

61020009031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325840 (or 325817 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 61020009031680 its reverse (8613090002016), we get a palindrome (69633099033696).

The spelling of 61020009031680 in words is "sixty-one trillion, twenty billion, nine million, thirty-one thousand, six hundred eighty".