88577072640000 has 1560 divisors, whose sum is σ = 381470471561520. Its totient is φ = 20245413888000.

The previous prime is 88577072639947. The next prime is 88577072640037. The reversal of 88577072640000 is 4627077588.

It is a happy number.

88577072640000 is a `hidden beast` number, since 8 + 8 + 577 + 0 + 7 + 2 + 64 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3386866924 + ... + 3386893076.

Almost surely, 2^{88577072640000} is an apocalyptic number.

88577072640000 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 88577072640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190735235780760).

88577072640000 is an abundant number, since it is smaller than the sum of its proper divisors (292893398921520).

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

88577072640000 is an equidigital number, since it uses as much as digits as its factorization.

88577072640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26220 (or 26170 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 88577072640000 in words is "eighty-eight trillion, five hundred seventy-seven billion, seventy-two million, six hundred forty thousand".