99772235136 has 512 divisors, whose sum is σ = 363674880000. Its totient is φ = 26824089600.

The previous prime is 99772235113. The next prime is 99772235183. The reversal of 99772235136 is 63153227799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20149461 + ... + 20154411.

It is an arithmetic number, because the mean of its divisors is an integer number (710302500).

Almost surely, 2^99772235136 is an apocalyptic number.

99772235136 is a gapful number since it is divisible by the number (96) 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 99772235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181837440000).

99772235136 is an abundant number, since it is smaller than the sum of its proper divisors (263902644864).

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

99772235136 is a wasteful number, since it uses less digits than its factorization.

99772235136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4980 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 99772235136 in words is "ninety-nine billion, seven hundred seventy-two million, two hundred thirty-five thousand, one hundred thirty-six".