61202044800 has 960 divisors, whose sum is σ = 249716673360. Its totient is φ = 14664499200.

The previous prime is 61202044793. The next prime is 61202044819. The reversal of 61202044800 is 844020216.

61202044800 is a `hidden beast` number, since 612 + 0 + 2 + 0 + 4 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 138153379 + ... + 138153821.

Almost surely, 2^61202044800 is an apocalyptic number.

61202044800 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 61202044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124858336680).

61202044800 is an abundant number, since it is smaller than the sum of its proper divisors (188514628560).

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

61202044800 is a wasteful number, since it uses less digits than its factorization.

61202044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 61202044800 in words is "sixty-one billion, two hundred two million, forty-four thousand, eight hundred".