61371172800 has 840 divisors, whose sum is σ = 262274121120. Its totient is φ = 13785292800.

The previous prime is 61371172777. The next prime is 61371172801. The reversal of 61371172800 is 827117316.

61371172800 is a `hidden beast` number, since 6 + 1 + 371 + 1 + 7 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61371172801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55338646 + ... + 55339754.

Almost surely, 2^61371172800 is an apocalyptic number.

61371172800 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 61371172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131137060560).

61371172800 is an abundant number, since it is smaller than the sum of its proper divisors (200902948320).

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

61371172800 is a wasteful number, since it uses less digits than its factorization.

61371172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 61371172800 in words is "sixty-one billion, three hundred seventy-one million, one hundred seventy-two thousand, eight hundred".