88048692900 has 567 divisors, whose sum is σ = 335373696819. Its totient is φ = 19997228160.

The previous prime is 88048692883. The next prime is 88048692917. The reversal of 88048692900 is 929684088.

The square root of 88048692900 is 296730.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (88048692883) and next prime (88048692917).

It can be written as a sum of positive squares in 4 ways, for example, as 10649001636 + 77399691264 = 103194^2 + 278208^2 .

It is a tau number, because it is divible by the number of its divisors (567).

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 560819622 + ... + 560819778.

Almost surely, 2^88048692900 is an apocalyptic number.

88048692900 is the 296730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88048692900

88048692900 is an abundant number, since it is smaller than the sum of its proper divisors (247325003919).

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

88048692900 is a wasteful number, since it uses less digits than its factorization.

88048692900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 88048692900 in words is "eighty-eight billion, forty-eight million, six hundred ninety-two thousand, nine hundred".