157061588970 has 512 divisors, whose sum is σ = 478328094720. Its totient is φ = 32472576000.

The previous prime is 157061588947. The next prime is 157061588977. The reversal of 157061588970 is 79885160751.

157061588970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157061588970.

It is not an unprimeable number, because it can be changed into a prime (157061588977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 290316900 + ... + 290317440.

It is an arithmetic number, because the mean of its divisors is an integer number (934234560).

Almost surely, 2^157061588970 is an apocalyptic number.

157061588970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157061588970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239164047360).

157061588970 is an abundant number, since it is smaller than the sum of its proper divisors (321266505750).

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

157061588970 is a wasteful number, since it uses less digits than its factorization.

157061588970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702.

The product of its (nonzero) digits is 4233600, while the sum is 57.

It can be divided in two parts, 157061 and 588970, that added together give a triangular number (746031 = T₁₂₂₁).

The spelling of 157061588970 in words is "one hundred fifty-seven billion, sixty-one million, five hundred eighty-eight thousand, nine hundred seventy".