10619091840 has 384 divisors, whose sum is σ = 40349625120. Its totient is φ = 2367160320.

The previous prime is 10619091839. The next prime is 10619091851. The reversal of 10619091840 is 4819091601.

10619091840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10619091840² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3855904 + ... + 3858656.

Almost surely, 2^10619091840 is an apocalyptic number.

10619091840 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 10619091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174812560).

10619091840 is an abundant number, since it is smaller than the sum of its proper divisors (29730533280).

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

10619091840 is a wasteful number, since it uses less digits than its factorization.

10619091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 10619091840 in words is "ten billion, six hundred nineteen million, ninety-one thousand, eight hundred forty".