10047649920 has 1024 divisors, whose sum is σ = 43476480000. Its totient is φ = 1950842880.

The previous prime is 10047649919. The next prime is 10047649933. The reversal of 10047649920 is 2994674001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137639004 + ... + 137639076.

It is an arithmetic number, because the mean of its divisors is an integer number (42457500).

Almost surely, 2^10047649920 is an apocalyptic number.

10047649920 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 10047649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21738240000).

10047649920 is an abundant number, since it is smaller than the sum of its proper divisors (33428830080).

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

10047649920 is a wasteful number, since it uses less digits than its factorization.

10047649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 10047649920 in words is "ten billion, forty-seven million, six hundred forty-nine thousand, nine hundred twenty".