61930061280000 has 2160 divisors, whose sum is σ = 242050900867776. Its totient is φ = 15182069760000.

The previous prime is 61930061279927. The next prime is 61930061280001. The reversal of 61930061280000 is 8216003916.

61930061280000 is a `hidden beast` number, since 6 + 1 + 9 + 30 + 0 + 612 + 8 + 0 + 0 + 0 + 0 = 666.

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 (61930061280001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118867679740 + ... + 118867680260.

Almost surely, 2^{61930061280000} is an apocalyptic number.

61930061280000 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 61930061280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121025450433888).

61930061280000 is an abundant number, since it is smaller than the sum of its proper divisors (180120839587776).

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

61930061280000 is a wasteful number, since it uses less digits than its factorization.

61930061280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 688 counting only the distinct ones).

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

Adding to 61930061280000 its reverse (8216003916), we get a palindrome (61938277283916).

The spelling of 61930061280000 in words is "sixty-one trillion, nine hundred thirty billion, sixty-one million, two hundred eighty thousand".