157978439562240 has 704 divisors, whose sum is σ = 616006944587520. Its totient is φ = 38076365537280.

The previous prime is 157978439562239. The next prime is 157978439562253. The reversal of 157978439562240 is 42265934879751.

157978439562240 is a `hidden beast` number, since 1 + 5 + 7 + 9 + 7 + 8 + 4 + 39 + 562 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

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, 262770462 + ... + 263370978.

It is a 4-persistent number, because k⋅157978439562240 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 2^{157978439562240} is an apocalyptic number.

157978439562240 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 157978439562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308003472293760).

157978439562240 is an abundant number, since it is smaller than the sum of its proper divisors (458028505025280).

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

157978439562240 is a wasteful number, since it uses less digits than its factorization.

157978439562240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600735 (or 600711 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 157978439562240 in words is "one hundred fifty-seven trillion, nine hundred seventy-eight billion, four hundred thirty-nine million, five hundred sixty-two thousand, two hundred forty".