88264370040 has 768 divisors, whose sum is σ = 356466769920. Its totient is φ = 16975457280.

The previous prime is 88264369997. The next prime is 88264370041. The reversal of 88264370040 is 4007346288.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 88264369974 and 88264370001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88264370041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 156774799 + ... + 156775361.

It is an arithmetic number, because the mean of its divisors is an integer number (464149440).

Almost surely, 2^88264370040 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 88264370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178233384960).

88264370040 is an abundant number, since it is smaller than the sum of its proper divisors (268202399880).

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

88264370040 is a wasteful number, since it uses less digits than its factorization.

88264370040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 88264370040 in words is "eighty-eight billion, two hundred sixty-four million, three hundred seventy thousand, forty".