102411254880 has 480 divisors, whose sum is σ = 396131329440. Its totient is φ = 24710676480.

The previous prime is 102411254867. The next prime is 102411254887. The reversal of 102411254880 is 88452114201.

102411254880 is a `hidden beast` number, since 1 + 0 + 24 + 1 + 12 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102411254887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32644672 + ... + 32647808.

It is an arithmetic number, because the mean of its divisors is an integer number (825273603).

Almost surely, 2^102411254880 is an apocalyptic number.

102411254880 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 102411254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198065664720).

102411254880 is an abundant number, since it is smaller than the sum of its proper divisors (293720074560).

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

102411254880 is a wasteful number, since it uses less digits than its factorization.

102411254880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 102411254880 in words is "one hundred two billion, four hundred eleven million, two hundred fifty-four thousand, eight hundred eighty".