61871587600 has 45 divisors (see below), whose sum is σ = 148658442127. Its totient is φ = 24746645120.

The previous prime is 61871587573. The next prime is 61871587639. The reversal of 61871587600 is 678517816.

The square root of 61871587600 is 248740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27933105424 + 33938482176 = 167132^2 + 184224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4968582 + ... + 4981018.

Almost surely, 2^61871587600 is an apocalyptic number.

61871587600 is the 248740-th square number.

It is an amenable number.

61871587600 is an abundant number, since it is smaller than the sum of its proper divisors (86786854527).

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

61871587600 is an frugal number, since it uses more digits than its factorization.

61871587600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24892 (or 12444 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

Multiplying 61871587600 by its sum of digits (49), we get a square (3031707792400 = 1741180²).

The spelling of 61871587600 in words is "sixty-one billion, eight hundred seventy-one million, five hundred eighty-seven thousand, six hundred".