88878683201616 has 720 divisors, whose sum is σ = 333465508359360. Its totient is φ = 21791298170880.

The previous prime is 88878683201611. The next prime is 88878683201639. The reversal of 88878683201616 is 61610238687888.

88878683201616 is a `hidden beast` number, since 8 + 8 + 87 + 8 + 68 + 320 + 161 + 6 = 666.

It is a super-3 number, since 3×88878683201616³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88878683201611) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 408384220 + ... + 408601796.

It is an arithmetic number, because the mean of its divisors is an integer number (463146539388).

Almost surely, 2^{88878683201616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88878683201616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166732754179680).

88878683201616 is an abundant number, since it is smaller than the sum of its proper divisors (244586825157744).

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

88878683201616 is a wasteful number, since it uses less digits than its factorization.

88878683201616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217912 (or 217896 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 88878683201616 in words is "eighty-eight trillion, eight hundred seventy-eight billion, six hundred eighty-three million, two hundred one thousand, six hundred sixteen".