61881537600 has 315 divisors, whose sum is σ = 227790619221. Its totient is φ = 16477862400.

The previous prime is 61881537563. The next prime is 61881537629. The reversal of 61881537600 is 673518816.

The square root of 61881537600 is 248760.

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

61881537600 is a `hidden beast` number, since 6 + 1 + 8 + 8 + 1 + 5 + 37 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22277353536 + 39604184064 = 149256^2 + 199008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 89553255 + ... + 89553945.

Almost surely, 2^61881537600 is an apocalyptic number.

61881537600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61881537600 is the 248760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61881537600

61881537600 is an abundant number, since it is smaller than the sum of its proper divisors (165909081621).

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

61881537600 is an frugal number, since it uses more digits than its factorization.

61881537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 61881537600 in words is "sixty-one billion, eight hundred eighty-one million, five hundred thirty-seven thousand, six hundred".