10157478926400 has 1323 divisors, whose sum is σ = 40757333378871. Its totient is φ = 2489287956480.

The previous prime is 10157478926369. The next prime is 10157478926411. The reversal of 10157478926400 is 462987475101.

The square root of 10157478926400 is 3187080.

It is a perfect power (a square), and thus also a powerful number.

10157478926400 is a `hidden beast` number, since 1 + 0 + 1 + 574 + 7 + 8 + 9 + 2 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2618105219136 + 7539373707264 = 1618056^2 + 2745792^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 44746603087 + ... + 44746603313.

Almost surely, 2^{10157478926400} is an apocalyptic number.

10157478926400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10157478926400 is the 3187080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10157478926400

10157478926400 is an abundant number, since it is smaller than the sum of its proper divisors (30599854452471).

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

10157478926400 is an frugal number, since it uses more digits than its factorization.

10157478926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 10157478926400 in words is "ten trillion, one hundred fifty-seven billion, four hundred seventy-eight million, nine hundred twenty-six thousand, four hundred".