88101721400 has 288 divisors, whose sum is σ = 272460373920. Its totient is φ = 25844121600.

The previous prime is 88101721399. The next prime is 88101721423. The reversal of 88101721400 is 412710188.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2864504 + ... + 2895096.

It is an arithmetic number, because the mean of its divisors is an integer number (946042965).

Almost surely, 2^88101721400 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 88101721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136230186960).

88101721400 is an abundant number, since it is smaller than the sum of its proper divisors (184358652520).

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

88101721400 is a wasteful number, since it uses less digits than its factorization.

88101721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30655 (or 30635 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The spelling of 88101721400 in words is "eighty-eight billion, one hundred one million, seven hundred twenty-one thousand, four hundred".