157872939840 has 2352 divisors, whose sum is σ = 765650382336. Its totient is φ = 30218158080.

The previous prime is 157872939821. The next prime is 157872939859. The reversal of 157872939840 is 48939278751.

157872939840 is a `hidden beast` number, since 1 + 578 + 7 + 29 + 39 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157872939821) and next prime (157872939859).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 335 ways as a sum of consecutive naturals, for example, 3358998697 + ... + 3358998743.

Almost surely, 2^157872939840 is an apocalyptic number.

157872939840 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 157872939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382825191168).

157872939840 is an abundant number, since it is smaller than the sum of its proper divisors (607777442496).

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

157872939840 is a wasteful number, since it uses less digits than its factorization.

157872939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 157872939840 in words is "one hundred fifty-seven billion, eight hundred seventy-two million, nine hundred thirty-nine thousand, eight hundred forty".