15779490958440 has 768 divisors, whose sum is σ = 59414779307520. Its totient is φ = 3594582097920.

The previous prime is 15779490958421. The next prime is 15779490958547. The reversal of 15779490958440 is 4485909497751.

15779490958440 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 9 + 4 + 90 + 95 + 8 + 440 = 666.

15779490958440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1210355602 + ... + 1210368638.

It is an arithmetic number, because the mean of its divisors is an integer number (77362993890).

Almost surely, 2^{15779490958440} is an apocalyptic number.

15779490958440 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 15779490958440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707389653760).

15779490958440 is an abundant number, since it is smaller than the sum of its proper divisors (43635288349080).

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

15779490958440 is a wasteful number, since it uses less digits than its factorization.

15779490958440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 15779490958440 in words is "fifteen trillion, seven hundred seventy-nine billion, four hundred ninety million, nine hundred fifty-eight thousand, four hundred forty".