6100928488800 has 1944 divisors, whose sum is σ = 24705639628488. Its totient is φ = 1468705996800.

The previous prime is 6100928488703. The next prime is 6100928488819. The reversal of 6100928488800 is 88848290016.

6100928488800 is a `hidden beast` number, since 61 + 0 + 0 + 9 + 28 + 488 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 53990517544 + ... + 53990517656.

Almost surely, 2^{6100928488800} is an apocalyptic number.

6100928488800 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 6100928488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12352819814244).

6100928488800 is an abundant number, since it is smaller than the sum of its proper divisors (18604711139688).

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

6100928488800 is a wasteful number, since it uses less digits than its factorization.

6100928488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 6100928488800 in words is "six trillion, one hundred billion, nine hundred twenty-eight million, four hundred eighty-eight thousand, eight hundred".