88480126800 has 180 divisors, whose sum is σ = 330670071004. Its totient is φ = 21779712000.

The previous prime is 88480126751. The next prime is 88480126849. The reversal of 88480126800 is 862108488.

It is a happy number.

88480126800 is a `hidden beast` number, since 88 + 480 + 12 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88480126751) and next prime (88480126849).

It can be written as a sum of positive squares in 6 ways, for example, as 29191772736 + 59288354064 = 170856^2 + 243492^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 898501 + ... + 992100.

Almost surely, 2^88480126800 is an apocalyptic number.

88480126800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88480126800 is an abundant number, since it is smaller than the sum of its proper divisors (242189944204).

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

88480126800 is a wasteful number, since it uses less digits than its factorization.

88480126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890638 (or 1890624 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 88480126800 in words is "eighty-eight billion, four hundred eighty million, one hundred twenty-six thousand, eight hundred".