15226837672140 has 1152 divisors, whose sum is σ = 52451739648000. Its totient is φ = 3664089022464.

The previous prime is 15226837672133. The next prime is 15226837672177. The reversal of 15226837672140 is 4127673862251.

15226837672140 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 68 + 376 + 72 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 78895531884 + ... + 78895532076.

It is an arithmetic number, because the mean of its divisors is an integer number (45531024000).

Almost surely, 2^{15226837672140} is an apocalyptic number.

15226837672140 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 15226837672140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26225869824000).

15226837672140 is an abundant number, since it is smaller than the sum of its proper divisors (37224901975860).

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

15226837672140 is a wasteful number, since it uses less digits than its factorization.

15226837672140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 15226837672140 in words is "fifteen trillion, two hundred twenty-six billion, eight hundred thirty-seven million, six hundred seventy-two thousand, one hundred forty".