88501249620 has 960 divisors, whose sum is σ = 354077982720. Its totient is φ = 18040320000.

The previous prime is 88501249619. The next prime is 88501249621. The reversal of 88501249620 is 2694210588.

88501249620 is a `hidden beast` number, since 8 + 8 + 5 + 0 + 12 + 4 + 9 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (88501249619) and next prime (88501249621).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88501249621) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 352594495 + ... + 352594745.

It is an arithmetic number, because the mean of its divisors is an integer number (368831232).

Almost surely, 2^88501249620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88501249620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177038991360).

88501249620 is an abundant number, since it is smaller than the sum of its proper divisors (265576733100).

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

88501249620 is a wasteful number, since it uses less digits than its factorization.

88501249620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 88501249620 in words is "eighty-eight billion, five hundred one million, two hundred forty-nine thousand, six hundred twenty".