99790133760 has 400 divisors, whose sum is σ = 358945943400. Its totient is φ = 26496958464.

The previous prime is 99790133759. The next prime is 99790133767. The reversal of 99790133760 is 6733109799.

It can be written as a sum of positive squares in 4 ways, for example, as 80719628544 + 19070505216 = 284112^2 + 138096^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 99790133697 and 99790133706.

It is not an unprimeable number, because it can be changed into a prime (99790133767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55778946 + ... + 55780734.

Almost surely, 2^99790133760 is an apocalyptic number.

99790133760 is a gapful number since it is divisible by the number (90) 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 99790133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179472971700).

99790133760 is an abundant number, since it is smaller than the sum of its proper divisors (259155809640).

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

99790133760 is a wasteful number, since it uses less digits than its factorization.

99790133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 54.

The spelling of 99790133760 in words is "ninety-nine billion, seven hundred ninety million, one hundred thirty-three thousand, seven hundred sixty".