61431988633600 has 180 divisors, whose sum is σ = 164065672209124. Its totient is φ = 22682578452480.

The previous prime is 61431988633579. The next prime is 61431988633643. The reversal of 61431988633600 is 633688913416.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8261991399424 + 53169997234176 = 2874368^2 + 7291776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443679 + ... + 11093278.

Almost surely, 2^{61431988633600} 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 61431988633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82032836104562).

61431988633600 is an abundant number, since it is smaller than the sum of its proper divisors (102633683575524).

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

61431988633600 is a wasteful number, since it uses less digits than its factorization.

61431988633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11537008 (or 11536977 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 61431988633600 in words is "sixty-one trillion, four hundred thirty-one billion, nine hundred eighty-eight million, six hundred thirty-three thousand, six hundred".