88420937814720 has 2688 divisors, whose sum is σ = 398546281635840. Its totient is φ = 17510765690880.

The previous prime is 88420937814707. The next prime is 88420937814733. The reversal of 88420937814720 is 2741873902488.

88420937814720 is a `hidden beast` number, since 8 + 8 + 4 + 2 + 0 + 93 + 78 + 1 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88420937814707) and next prime (88420937814733).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 140128268805 + ... + 140128269435.

Almost surely, 2^{88420937814720} is an apocalyptic number.

88420937814720 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 88420937814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199273140817920).

88420937814720 is an abundant number, since it is smaller than the sum of its proper divisors (310125343821120).

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

88420937814720 is a wasteful number, since it uses less digits than its factorization.

88420937814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 88420937814720 in words is "eighty-eight trillion, four hundred twenty billion, nine hundred thirty-seven million, eight hundred fourteen thousand, seven hundred twenty".