102653166240 has 240 divisors, whose sum is σ = 369990415872. Its totient is φ = 26791589376.

The previous prime is 102653166233. The next prime is 102653166269. The reversal of 102653166240 is 42661356201.

102653166240 is a `hidden beast` number, since 1 + 0 + 26 + 5 + 3 + 1 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 102653166195 and 102653166204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 524857 + ... + 693383.

Almost surely, 2^102653166240 is an apocalyptic number.

102653166240 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 102653166240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184995207936).

102653166240 is an abundant number, since it is smaller than the sum of its proper divisors (267337249632).

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

102653166240 is a wasteful number, since it uses less digits than its factorization.

102653166240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168601 (or 168584 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 102653166240 in words is "one hundred two billion, six hundred fifty-three million, one hundred sixty-six thousand, two hundred forty".