105925556580480 has 2048 divisors, whose sum is σ = 497349122457600. Its totient is φ = 20687613788160.

The previous prime is 105925556580469. The next prime is 105925556580497. The reversal of 105925556580480 is 84085655529501.

It is a happy number.

105925556580480 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 2 + 5 + 5 + 5 + 6 + 580 + 48 + 0 = 666.

It is a super-2 number, since 2×105925556580480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1121131002 + ... + 1121225478.

It is an arithmetic number, because the mean of its divisors is an integer number (242846251200).

Almost surely, 2^{105925556580480} is an apocalyptic number.

105925556580480 is a gapful number since it is divisible by the number (10) 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 105925556580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248674561228800).

105925556580480 is an abundant number, since it is smaller than the sum of its proper divisors (391423565877120).

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

105925556580480 is a wasteful number, since it uses less digits than its factorization.

105925556580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94579 (or 94561 counting only the distinct ones).

The product of its (nonzero) digits is 86400000, while the sum is 63.

The spelling of 105925556580480 in words is "one hundred five trillion, nine hundred twenty-five billion, five hundred fifty-six million, five hundred eighty thousand, four hundred eighty".