5406100920 has 384 divisors, whose sum is σ = 20310696000. Its totient is φ = 1277337600.

The previous prime is 5406100897. The next prime is 5406100937. The reversal of 5406100920 is 290016045.

5406100920 is a `hidden beast` number, since 5 + 40 + 610 + 0 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5357376 + ... + 5358384.

Almost surely, 2^5406100920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406100920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155348000).

5406100920 is an abundant number, since it is smaller than the sum of its proper divisors (14904595080).

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

5406100920 is a wasteful number, since it uses less digits than its factorization.

5406100920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5406100920 is about 73526.1920678611. The cubic root of 5406100920 is about 1755.0711053081.

Adding to 5406100920 its reverse (290016045), we get a palindrome (5696116965).

The spelling of 5406100920 in words is "five billion, four hundred six million, one hundred thousand, nine hundred twenty".