8978101017600 has 2112 divisors, whose sum is σ = 36221393682432. Its totient is φ = 1932263424000.

The previous prime is 8978101017563. The next prime is 8978101017601. The reversal of 8978101017600 is 67101018798.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8978101017600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8978101017601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57185356722 + ... + 57185356878.

Almost surely, 2^{8978101017600} is an apocalyptic number.

8978101017600 is a gapful number since it is divisible by the number (80) 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 8978101017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18110696841216).

8978101017600 is an abundant number, since it is smaller than the sum of its proper divisors (27243292664832).

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

8978101017600 is a wasteful number, since it uses less digits than its factorization.

8978101017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 48.

The spelling of 8978101017600 in words is "eight trillion, nine hundred seventy-eight billion, one hundred one million, seventeen thousand, six hundred".