102802452480 has 1248 divisors, whose sum is σ = 456817181184. Its totient is φ = 21594636288.

The previous prime is 102802452461. The next prime is 102802452499. The reversal of 102802452480 is 84254208201.

102802452480 is a `hidden beast` number, since 10 + 28 + 0 + 24 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (102802452461) and next prime (102802452499).

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452874127 + ... + 452874353.

It is an arithmetic number, because the mean of its divisors is an integer number (366039408).

Almost surely, 2^102802452480 is an apocalyptic number.

102802452480 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 102802452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228408590592).

102802452480 is an abundant number, since it is smaller than the sum of its proper divisors (354014728704).

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

102802452480 is an equidigital number, since it uses as much as digits as its factorization.

102802452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 102802452480 in words is "one hundred two billion, eight hundred two million, four hundred fifty-two thousand, four hundred eighty".