61620489250800 has 480 divisors, whose sum is σ = 205930669593600. Its totient is φ = 15736037990400.

The previous prime is 61620489250739. The next prime is 61620489250841. The reversal of 61620489250800 is 805298402616.

It is a happy number.

It is a congruent number.

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, 1888271284 + ... + 1888303916.

It is an arithmetic number, because the mean of its divisors is an integer number (429022228320).

Almost surely, 2^{61620489250800} is an apocalyptic number.

61620489250800 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 61620489250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102965334796800).

61620489250800 is an abundant number, since it is smaller than the sum of its proper divisors (144310180342800).

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

61620489250800 is a wasteful number, since it uses less digits than its factorization.

61620489250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33361 (or 33350 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 61620489250800 in words is "sixty-one trillion, six hundred twenty billion, four hundred eighty-nine million, two hundred fifty thousand, eight hundred".