88380351360 has 576 divisors, whose sum is σ = 373722757200. Its totient is φ = 19136839680.

The previous prime is 88380351343. The next prime is 88380351361. The reversal of 88380351360 is 6315308388.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×88380351360² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88380351361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5354320 + ... + 5370800.

Almost surely, 2^88380351360 is an apocalyptic number.

88380351360 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 88380351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186861378600).

88380351360 is an abundant number, since it is smaller than the sum of its proper divisors (285342405840).

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

88380351360 is a wasteful number, since it uses less digits than its factorization.

88380351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16539 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 88380351360 in words is "eighty-eight billion, three hundred eighty million, three hundred fifty-one thousand, three hundred sixty".