88196920086240 has 576 divisors, whose sum is σ = 364528243707264. Its totient is φ = 18956427853824.

The previous prime is 88196920086217. The next prime is 88196920086283. The reversal of 88196920086240 is 4268002969188.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191178732 + ... + 191639508.

It is an arithmetic number, because the mean of its divisors is an integer number (632861534214).

Almost surely, 2^{88196920086240} is an apocalyptic number.

88196920086240 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 88196920086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182264121853632).

88196920086240 is an abundant number, since it is smaller than the sum of its proper divisors (276331323621024).

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

88196920086240 is a wasteful number, since it uses less digits than its factorization.

88196920086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461939 (or 461928 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 88196920086240 in words is "eighty-eight trillion, one hundred ninety-six billion, nine hundred twenty million, eighty-six thousand, two hundred forty".