61893891072 has 440 divisors, whose sum is σ = 202522761672. Its totient is φ = 18712166400.

The previous prime is 61893891041. The next prime is 61893891083. The reversal of 61893891072 is 27019839816.

61893891072 is a `hidden beast` number, since 6 + 189 + 389 + 10 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119771136 + 61774119936 = 10944^2 + 248544^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65774122 + ... + 65775062.

Almost surely, 2^61893891072 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 61893891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101261380836).

61893891072 is an abundant number, since it is smaller than the sum of its proper divisors (140628870600).

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

61893891072 is a wasteful number, since it uses less digits than its factorization.

61893891072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 61893891072 in words is "sixty-one billion, eight hundred ninety-three million, eight hundred ninety-one thousand, seventy-two".