88630602278400 has 7560 divisors, whose sum is σ = 439660054937664. Its totient is φ = 17607750451200.

The previous prime is 88630602278321. The next prime is 88630602278497. The reversal of 88630602278400 is 487220603688.

88630602278400 is a `hidden beast` number, since 8 + 8 + 6 + 3 + 0 + 6 + 0 + 227 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (7560).

It is a super-2 number, since 2×88630602278400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 2395421683182 + ... + 2395421683218.

Almost surely, 2^{88630602278400} is an apocalyptic number.

88630602278400 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 88630602278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219830027468832).

88630602278400 is an abundant number, since it is smaller than the sum of its proper divisors (351029452659264).

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

88630602278400 is a wasteful number, since it uses less digits than its factorization.

88630602278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 88630602278400 in words is "eighty-eight trillion, six hundred thirty billion, six hundred two million, two hundred seventy-eight thousand, four hundred".