88268052029472 has 864 divisors, whose sum is σ = 306062582664384. Its totient is φ = 24039261388800.

The previous prime is 88268052029471. The next prime is 88268052029473. The reversal of 88268052029472 is 27492025086288.

88268052029472 is a `hidden beast` number, since 8 + 8 + 2 + 6 + 80 + 520 + 29 + 4 + 7 + 2 = 666.

88268052029472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (88268052029471) and next prime (88268052029473).

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

It is not an unprimeable number, because it can be changed into a prime (88268052029471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4519372347 + ... + 4519391877.

It is an arithmetic number, because the mean of its divisors is an integer number (354239100306).

Almost surely, 2^{88268052029472} is an apocalyptic number.

88268052029472 is a gapful number since it is divisible by the number (82) 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 88268052029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153031291332192).

88268052029472 is an abundant number, since it is smaller than the sum of its proper divisors (217794530634912).

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

88268052029472 is a wasteful number, since it uses less digits than its factorization.

88268052029472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19782 (or 19764 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 88268052029472 in words is "eighty-eight trillion, two hundred sixty-eight billion, fifty-two million, twenty-nine thousand, four hundred seventy-two".