102487956480 has 704 divisors, whose sum is σ = 448330337280. Its totient is φ = 21621178368.

The previous prime is 102487956469. The next prime is 102487956499. The reversal of 102487956480 is 84659784201.

It is a happy number.

102487956480 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 8 + 79 + 564 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 12575767 + ... + 12583913.

Almost surely, 2^102487956480 is an apocalyptic number.

102487956480 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 102487956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224165168640).

102487956480 is an abundant number, since it is smaller than the sum of its proper divisors (345842380800).

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

102487956480 is a wasteful number, since it uses less digits than its factorization.

102487956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 102487956480 in words is "one hundred two billion, four hundred eighty-seven million, nine hundred fifty-six thousand, four hundred eighty".