102449986560 has 528 divisors, whose sum is σ = 366789844512. Its totient is φ = 26424115200.

The previous prime is 102449986531. The next prime is 102449986571. The reversal of 102449986560 is 65689944201.

102449986560 is a `hidden beast` number, since 1 + 0 + 24 + 499 + 86 + 56 + 0 = 666.

It is a super-2 number, since 2×102449986560² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 102449986497 and 102449986506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398637952 + ... + 398638208.

Almost surely, 2^102449986560 is an apocalyptic number.

102449986560 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 102449986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183394922256).

102449986560 is an abundant number, since it is smaller than the sum of its proper divisors (264339857952).

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

102449986560 is a wasteful number, since it uses less digits than its factorization.

102449986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 102449986560 in words is "one hundred two billion, four hundred forty-nine million, nine hundred eighty-six thousand, five hundred sixty".