109540764840 has 256 divisors, whose sum is σ = 359976960000. Its totient is φ = 26504045568.

The previous prime is 109540764797. The next prime is 109540764857. The reversal of 109540764840 is 48467045901.

It is a self number, because there is not a number n which added to its sum of digits gives 109540764840.

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, 29452501 + ... + 29456219.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160000).

Almost surely, 2^109540764840 is an apocalyptic number.

109540764840 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 109540764840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480000).

109540764840 is an abundant number, since it is smaller than the sum of its proper divisors (250436195160).

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

109540764840 is a wasteful number, since it uses less digits than its factorization.

109540764840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

It can be divided in two parts, 1095 and 40764840, that added together give a triangular number (40765935 = T₉₀₂₉).

The spelling of 109540764840 in words is "one hundred nine billion, five hundred forty million, seven hundred sixty-four thousand, eight hundred forty".