610861250400 has 288 divisors, whose sum is σ = 2076077122560. Its totient is φ = 155718266880.

The previous prime is 610861250371. The next prime is 610861250453. The reversal of 610861250400 is 4052168016.

610861250400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149755561 + ... + 149759639.

It is an arithmetic number, because the mean of its divisors is an integer number (7208601120).

Almost surely, 2^610861250400 is an apocalyptic number.

610861250400 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 610861250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038038561280).

610861250400 is an abundant number, since it is smaller than the sum of its proper divisors (1465215872160).

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

610861250400 is a wasteful number, since it uses less digits than its factorization.

610861250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 610861250400 in words is "six hundred ten billion, eight hundred sixty-one million, two hundred fifty thousand, four hundred".