61205306171040 has 480 divisors, whose sum is σ = 221069260310976. Its totient is φ = 15938804367360.

The previous prime is 61205306171039. The next prime is 61205306171059. The reversal of 61205306171040 is 4017160350216.

61205306171040 is a `hidden beast` number, since 6 + 1 + 2 + 0 + 5 + 30 + 617 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 61205306170986 and 61205306171004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5724932095 + ... + 5724942785.

Almost surely, 2^{61205306171040} is an apocalyptic number.

61205306171040 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 61205306171040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110534630155488).

61205306171040 is an abundant number, since it is smaller than the sum of its proper divisors (159863954139936).

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

61205306171040 is a wasteful number, since it uses less digits than its factorization.

61205306171040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21034 (or 21017 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 61205306171040 in words is "sixty-one trillion, two hundred five billion, three hundred six million, one hundred seventy-one thousand, forty".