61421347521600 has 672 divisors, whose sum is σ = 222607481209344. Its totient is φ = 14702276198400.

The previous prime is 61421347521587. The next prime is 61421347521631. The reversal of 61421347521600 is 612574312416.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11538856539 + ... + 11538861861.

It is an arithmetic number, because the mean of its divisors is an integer number (331261132752).

Almost surely, 2^{61421347521600} is an apocalyptic number.

61421347521600 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 61421347521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111303740604672).

61421347521600 is an abundant number, since it is smaller than the sum of its proper divisors (161186133687744).

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

61421347521600 is a wasteful number, since it uses less digits than its factorization.

61421347521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 61421347521600 in words is "sixty-one trillion, four hundred twenty-one billion, three hundred forty-seven million, five hundred twenty-one thousand, six hundred".