88093928276640 has 960 divisors, whose sum is σ = 369875024386560. Its totient is φ = 19463758479360.

The previous prime is 88093928276639. The next prime is 88093928276659. The reversal of 88093928276640 is 4667282939088.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146108272 + ... + 146709968.

It is an arithmetic number, because the mean of its divisors is an integer number (385286483736).

Almost surely, 2^{88093928276640} is an apocalyptic number.

88093928276640 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 88093928276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184937512193280).

88093928276640 is an abundant number, since it is smaller than the sum of its proper divisors (281781096109920).

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

88093928276640 is a wasteful number, since it uses less digits than its factorization.

88093928276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601827 (or 601810 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 88093928276640 in words is "eighty-eight trillion, ninety-three billion, nine hundred twenty-eight million, two hundred seventy-six thousand, six hundred forty".