78375132990 has 192 divisors, whose sum is σ = 259243545600. Its totient is φ = 16285671360.

The previous prime is 78375132961. The next prime is 78375133009. The reversal of 78375132990 is 9923157387.

78375132990 is a `hidden beast` number, since 7 + 8 + 37 + 513 + 2 + 9 + 90 = 666.

It is a super-2 number, since 2×78375132990² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224167 + ... + 454973.

It is an arithmetic number, because the mean of its divisors is an integer number (1350226800).

Almost surely, 2^78375132990 is an apocalyptic number.

78375132990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78375132990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129621772800).

78375132990 is an abundant number, since it is smaller than the sum of its proper divisors (180868412610).

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

78375132990 is a wasteful number, since it uses less digits than its factorization.

78375132990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230852 (or 230835 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 78375132990 in words is "seventy-eight billion, three hundred seventy-five million, one hundred thirty-two thousand, nine hundred ninety".