88032228710400 has 4320 divisors, whose sum is σ = 379949561671680. Its totient is φ = 20085878292480.

The previous prime is 88032228710353. The next prime is 88032228710473. The reversal of 88032228710400 is 401782223088.

88032228710400 is a `hidden beast` number, since 8 + 8 + 0 + 3 + 2 + 228 + 7 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 693167155137 + ... + 693167155263.

It is an arithmetic number, because the mean of its divisors is an integer number (87951287424).

Almost surely, 2^{88032228710400} is an apocalyptic number.

88032228710400 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 88032228710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189974780835840).

88032228710400 is an abundant number, since it is smaller than the sum of its proper divisors (291917332961280).

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

88032228710400 is a wasteful number, since it uses less digits than its factorization.

88032228710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 88032228710400 in words is "eighty-eight trillion, thirty-two billion, two hundred twenty-eight million, seven hundred ten thousand, four hundred".