88172203680 has 576 divisors, whose sum is σ = 335477915136. Its totient is φ = 20908800000.

The previous prime is 88172203663. The next prime is 88172203703. The reversal of 88172203680 is 8630227188.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266381115 + ... + 266381445.

It is an arithmetic number, because the mean of its divisors is an integer number (582426936).

Almost surely, 2^88172203680 is an apocalyptic number.

88172203680 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 88172203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167738957568).

88172203680 is an abundant number, since it is smaller than the sum of its proper divisors (247305711456).

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

88172203680 is a wasteful number, since it uses less digits than its factorization.

88172203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

It can be divided in two parts, 8817220 and 3680, that added together give a square (8820900 = 2970²).

The spelling of 88172203680 in words is "eighty-eight billion, one hundred seventy-two million, two hundred three thousand, six hundred eighty".