88253646400 has 168 divisors, whose sum is σ = 219471718536. Its totient is φ = 34927411200.

The previous prime is 88253646343. The next prime is 88253646407. The reversal of 88253646400 is 464635288.

It can be written as a sum of positive squares in 12 ways, for example, as 17591247424 + 70662398976 = 132632^2 + 265824^2 .

It is a super-2 number, since 2×88253646400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (88253646407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100173960 + ... + 100174840.

It is an arithmetic number, because the mean of its divisors is an integer number (1306379277).

Almost surely, 2^88253646400 is an apocalyptic number.

88253646400 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 88253646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109735859268).

88253646400 is an abundant number, since it is smaller than the sum of its proper divisors (131218072136).

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

88253646400 is a wasteful number, since it uses less digits than its factorization.

88253646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 88253646400 in words is "eighty-eight billion, two hundred fifty-three million, six hundred forty-six thousand, four hundred".