88735550400 has 756 divisors, whose sum is σ = 372553050168. Its totient is φ = 19969044480.

The previous prime is 88735550381. The next prime is 88735550419. The reversal of 88735550400 is 405553788.

88735550400 is a `hidden beast` number, since 88 + 73 + 55 + 50 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (88735550381) and next prime (88735550419).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47274262 + ... + 47276138.

Almost surely, 2^88735550400 is an apocalyptic number.

88735550400 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 88735550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186276525084).

88735550400 is an abundant number, since it is smaller than the sum of its proper divisors (283817499768).

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

88735550400 is a wasteful number, since it uses less digits than its factorization.

88735550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 88735550400 in words is "eighty-eight billion, seven hundred thirty-five million, five hundred fifty thousand, four hundred".