10019293920 has 384 divisors, whose sum is σ = 36008945280. Its totient is φ = 2601123840.

The previous prime is 10019293913. The next prime is 10019293931. The reversal of 10019293920 is 2939291001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50859262 + ... + 50859458.

It is an arithmetic number, because the mean of its divisors is an integer number (93773295).

Almost surely, 2^10019293920 is an apocalyptic number.

10019293920 is a gapful number since it is divisible by the number (10) 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 10019293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004472640).

10019293920 is an abundant number, since it is smaller than the sum of its proper divisors (25989651360).

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

10019293920 is a wasteful number, since it uses less digits than its factorization.

10019293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 10019293920 in words is "ten billion, nineteen million, two hundred ninety-three thousand, nine hundred twenty".