88364640000 has 1620 divisors, whose sum is σ = 391086830904. Its totient is φ = 17547264000.

The previous prime is 88364639977. The next prime is 88364640031. The reversal of 88364640000 is 4646388.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5197919992 + ... + 5197920008.

Almost surely, 2^88364640000 is an apocalyptic number.

88364640000 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 88364640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195543415452).

88364640000 is an abundant number, since it is smaller than the sum of its proper divisors (302722190904).

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

88364640000 is a wasteful number, since it uses less digits than its factorization.

88364640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

Multiplying 88364640000 by its sum of digits (39), we get a square (3446220960000 = 1856400²).

88364640000 divided by its sum of digits (39) gives a square (2265760000 = 47600²).

The spelling of 88364640000 in words is "eighty-eight billion, three hundred sixty-four million, six hundred forty thousand".