88281241776 has 240 divisors, whose sum is σ = 306479939584. Its totient is φ = 23099198976.

The previous prime is 88281241739. The next prime is 88281241787. The reversal of 88281241776 is 67714218288.

88281241776 is a `hidden beast` number, since 8 + 82 + 81 + 2 + 417 + 76 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1637685 + ... + 1690731.

Almost surely, 2^88281241776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88281241776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153239969792).

88281241776 is an abundant number, since it is smaller than the sum of its proper divisors (218198697808).

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

88281241776 is a wasteful number, since it uses less digits than its factorization.

88281241776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53208 (or 53199 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The spelling of 88281241776 in words is "eighty-eight billion, two hundred eighty-one million, two hundred forty-one thousand, seven hundred seventy-six".