88555545014400 has 1152 divisors, whose sum is σ = 322621034570640. Its totient is φ = 23125819392000.

The previous prime is 88555545014311. The next prime is 88555545014441. The reversal of 88555545014400 is 441054555588.

It is a happy number.

88555545014400 is a `hidden beast` number, since 8 + 8 + 5 + 55 + 545 + 0 + 1 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 3886544130624 + 84669000883776 = 1971432^2 + 9201576^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130805826862 + ... + 130805827538.

Almost surely, 2^{88555545014400} is an apocalyptic number.

88555545014400 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 88555545014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161310517285320).

88555545014400 is an abundant number, since it is smaller than the sum of its proper divisors (234065489556240).

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

88555545014400 is a wasteful number, since it uses less digits than its factorization.

88555545014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 12800000, while the sum is 54.

Adding to 88555545014400 its reverse (441054555588), we get a palindrome (88996599569988).

The spelling of 88555545014400 in words is "eighty-eight trillion, five hundred fifty-five billion, five hundred forty-five million, fourteen thousand, four hundred".