88704008951040 has 1296 divisors, whose sum is σ = 367096970612736. Its totient is φ = 19706300006400.

The previous prime is 88704008951023. The next prime is 88704008951069. The reversal of 88704008951040 is 4015980040788.

88704008951040 is a `hidden beast` number, since 8 + 8 + 7 + 0 + 4 + 0 + 0 + 89 + 510 + 40 = 666.

It is a super-2 number, since 2×88704008951040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6271930209 + ... + 6271944351.

Almost surely, 2^{88704008951040} is an apocalyptic number.

88704008951040 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 88704008951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183548485306368).

88704008951040 is an abundant number, since it is smaller than the sum of its proper divisors (278392961661696).

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

88704008951040 is a wasteful number, since it uses less digits than its factorization.

88704008951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496 (or 14472 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 88704008951040 in words is "eighty-eight trillion, seven hundred four billion, eight million, nine hundred fifty-one thousand, forty".