61857164400 has 240 divisors, whose sum is σ = 205041543168. Its totient is φ = 15924096000.

The previous prime is 61857164371. The next prime is 61857164437. The reversal of 61857164400 is 446175816.

It is a tau number, because it is divible by the number of its divisors (240).

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, 17147397 + ... + 17151003.

Almost surely, 2^61857164400 is an apocalyptic number.

61857164400 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 61857164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102520771584).

61857164400 is an abundant number, since it is smaller than the sum of its proper divisors (143184378768).

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

61857164400 is a wasteful number, since it uses less digits than its factorization.

61857164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 61857164400 in words is "sixty-one billion, eight hundred fifty-seven million, one hundred sixty-four thousand, four hundred".