88061454720 has 256 divisors, whose sum is σ = 312966763200. Its totient is φ = 23401562112.

The previous prime is 88061454703. The next prime is 88061454737. The reversal of 88061454720 is 2745416088.

88061454720 is a `hidden beast` number, since 8 + 8 + 0 + 614 + 5 + 4 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (88061454703) and next prime (88061454737).

It is a super-2 number, since 2×88061454720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5054344 + ... + 5071736.

Almost surely, 2^88061454720 is an apocalyptic number.

88061454720 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 88061454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156483381600).

88061454720 is an abundant number, since it is smaller than the sum of its proper divisors (224905308480).

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

88061454720 is a wasteful number, since it uses less digits than its factorization.

88061454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17714 (or 17696 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 88061454720 in words is "eighty-eight billion, sixty-one million, four hundred fifty-four thousand, seven hundred twenty".