61060942800 has 1440 divisors, whose sum is σ = 270798667776. Its totient is φ = 13001472000.

The previous prime is 61060942781. The next prime is 61060942841. The reversal of 61060942800 is 824906016.

61060942800 is a `hidden beast` number, since 6 + 1 + 0 + 609 + 42 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 319690705 + ... + 319690895.

Almost surely, 2^61060942800 is an apocalyptic number.

61060942800 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 61060942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135399333888).

61060942800 is an abundant number, since it is smaller than the sum of its proper divisors (209737724976).

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

61060942800 is a wasteful number, since it uses less digits than its factorization.

61060942800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 61060942800 in words is "sixty-one billion, sixty million, nine hundred forty-two thousand, eight hundred".