88735266253788 has 576 divisors, whose sum is σ = 282320794828800. Its totient is φ = 21014515307520.

The previous prime is 88735266253787. The next prime is 88735266253789.

88735266253788 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (88735266253787) and next prime (88735266253789).

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88735266253783) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4680367453 + ... + 4680386411.

It is an arithmetic number, because the mean of its divisors is an integer number (490140268800).

Almost surely, 2^{88735266253788} 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 88735266253788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141160397414400).

88735266253788 is an abundant number, since it is smaller than the sum of its proper divisors (193585528575012).

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

88735266253788 is a wasteful number, since it uses less digits than its factorization.

88735266253788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19378 (or 19347 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 78.

The spelling of 88735266253788 in words is "eighty-eight trillion, seven hundred thirty-five billion, two hundred sixty-six million, two hundred fifty-three thousand, seven hundred eighty-eight".