88954929006480 has 200 divisors, whose sum is σ = 308964420817272. Its totient is φ = 23720487192576.

The previous prime is 88954929006457. The next prime is 88954929006491. The reversal of 88954929006480 is 8460092945988.

88954929006480 is a `hidden beast` number, since 8 + 8 + 9 + 5 + 492 + 90 + 0 + 6 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57511231635456 + 31443697371024 = 7583616^2 + 5607468^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88954929006399 and 88954929006408.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198303724 + ... + 198751796.

Almost surely, 2^{88954929006480} is an apocalyptic number.

88954929006480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88954929006480 is an abundant number, since it is smaller than the sum of its proper divisors (220009491810792).

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

88954929006480 is a wasteful number, since it uses less digits than its factorization.

88954929006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478735 (or 478720 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 88954929006480 in words is "eighty-eight trillion, nine hundred fifty-four billion, nine hundred twenty-nine million, six thousand, four hundred eighty".