88213035040 has 192 divisors, whose sum is σ = 230963412960. Its totient is φ = 31630786560.

The previous prime is 88213035013. The next prime is 88213035077. The reversal of 88213035040 is 4053031288.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5680938384 + 82532096656 = 75372^2 + 287284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88213034987 and 88213035005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19526862 + ... + 19531378.

Almost surely, 2^88213035040 is an apocalyptic number.

88213035040 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 88213035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115481706480).

88213035040 is an abundant number, since it is smaller than the sum of its proper divisors (142750377920).

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

88213035040 is a wasteful number, since it uses less digits than its factorization.

88213035040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 88213035040 in words is "eighty-eight billion, two hundred thirteen million, thirty-five thousand, forty".