88140646235880 has 768 divisors, whose sum is σ = 332615297064960. Its totient is φ = 19826922700800.

The previous prime is 88140646235779. The next prime is 88140646235891. The reversal of 88140646235880 is 8853264604188.

88140646235880 is a `hidden beast` number, since 8 + 8 + 1 + 4 + 0 + 6 + 46 + 2 + 3 + 588 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36557711875 + ... + 36557714285.

It is an arithmetic number, because the mean of its divisors is an integer number (433092834720).

Almost surely, 2^{88140646235880} 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 88140646235880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166307648532480).

88140646235880 is an abundant number, since it is smaller than the sum of its proper divisors (244474650829080).

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

88140646235880 is a wasteful number, since it uses less digits than its factorization.

88140646235880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 88140646235880 in words is "eighty-eight trillion, one hundred forty billion, six hundred forty-six million, two hundred thirty-five thousand, eight hundred eighty".